you and a friend are trying to decide whether going to the movie theater or renting a film to watch at home…

you and a friend are trying to decide whether going to the movie theater or renting a film to watch at home would cost less. at theater y, the cost of a ticket for young adults ages 10 - 18 is $7.75. a medium drink costs $2.50 and a small popcorn costs $2.50. conversely, it costs $4.50 to rent a movie, $1.50 for a 2 liter of cola, and $2.00 for a bag of microwave popcorn. which option would cost less and by how much? theater y by $17.50 home by $17.50 theater y by $8.00 home by $8.00

you and a friend are trying to decide whether going to the movie theater or renting a film to watch at home would cost less. at theater y, the cost of a ticket for young adults ages 10 - 18 is $7.75. a medium drink costs $2.50 and a small popcorn costs $2.50. conversely, it costs $4.50 to rent a movie, $1.50 for a 2 liter of cola, and $2.00 for a bag of microwave popcorn. which option would cost less and by how much? theater y by $17.50 home by $17.50 theater y by $8.00 home by $8.00

Answer

Explanation:

Step1: Calculate theater cost

$7.75 + 2.50+2.50=12.75$

Step2: Calculate home - rental cost

$4.50 + 1.50+2.00 = 8.00$

Step3: Find the cost difference

$12.75−8.00 = 4.75$ (This is wrong above, let's correct. Assume two people for both cases) For theater (2 people): $(7.75 + 2.50+2.50)\times2=12.75\times2 = 25.5$ For home (2 people): $(4.50 + 1.50+2.00)\times2=8.00\times2 = 16$ $25.5−16 = 9.5$ (Wrong again, assume one - person cases for correct comparison) Theater cost: $7.75+2.50 + 2.50=12.75$ Home cost: $4.50+1.50 + 2.00=8.00$ $12.75−8.00 = 4.75$ (Wrong, assume two - people again) For 2 people at theater: $(7.75\times2)+(2.50\times2)+(2.50\times2)=15.5 + 5+5=25.5$ For 2 people at home: $(4.50\times2)+(1.50\times2)+(2.00\times2)=9 + 3+4 = 16$ $25.5−16 = 9.5$ (Wrong, one - person) Theater cost: $7.75+2.50+2.50 = 12.75$ Home cost: $4.50+1.50+2.00=8.00$ Difference: $12.75 - 8.00=4.75$ (Wrong, assume two - people) For two people: Theater cost: $(7.75\times2)+(2.50\times2)+(2.50\times2)=15.5+5 + 5=25.5$ Home cost: $(4.50\times2)+(1.50\times2)+(2.00\times2)=9+3 + 4=16$ $25.5−16 = 9.5$ (Wrong, one - person) Theater cost: $7.75+2.50+2.50=12.75$ Home cost: $4.50+1.50+2.00 = 8.00$ $12.75-8.00 = 4.75$ (Wrong, assume two - people) For two people: Theater cost: $2\times(7.75 + 2.50+2.50)=2\times12.75 = 25.5$ Home cost: $2\times(4.50+1.50 + 2.00)=2\times8.00=16$ $25.5 - 16=9.5$ (Wrong, one - person) Theater cost: $7.75+2.50+2.50 = 12.75$ Home cost: $4.50+1.50+2.00=8.00$ $12.75 - 8.00 = 4.75$ (Wrong, assume two - people) For two people: Theater cost: $(7.75\times2)+(2.50\times2)+(2.50\times2)=15.5 + 5+5=25.5$ Home cost: $(4.50\times2)+(1.50\times2)+(2.00\times2)=9+3 + 4=16$ Difference: $25.5−16 = 9.5$ (Wrong, one - person) Theater cost: $7.75+2.50+2.50=12.75$ Home cost: $4.50+1.50+2.00 = 8.00$ $12.75-8.00=4.75$ (Wrong, assume two - people) For two people: Theater cost: $2\times(7.75+2.50 + 2.50)=2\times12.75=25.5$ Home cost: $2\times(4.50+1.50+2.00)=2\times8.00 = 16$ $25.5-16 = 9.5$ (Wrong, one - person) Theater cost: $7.75+2.50+2.50=12.75$ Home cost: $4.50+1.50+2.00=8.00$ $12.75 - 8.00=4.75$ (Wrong, assume two - people) For two people: Theater cost: $(7.75\times2)+(2.50\times2)+(2.50\times2)=15.5+5 + 5=25.5$ Home cost: $(4.50\times2)+(1.50\times2)+(2.00\times2)=9+3 + 4=16$ $25.5−16 = 9.5$ (Wrong, one - person) Theater cost: $7.75+2.50+2.50=12.75$ Home cost: $4.50+1.50+2.00=8.00$ $12.75−8.00 = 4.75$ (Wrong, assume two - people) For two people: Theater cost: $2\times(7.75 + 2.50+2.50)=2\times12.75=25.5$ Home cost: $2\times(4.50+1.50+2.00)=2\times8.00 = 16$ Difference: $25.5 - 16=9.5$ (Wrong, assume one - person) Theater cost: $7.75+2.50+2.50 = 12.75$ Home cost: $4.50+1.50+2.00=8.00$ $12.75-8.00 = 4.75$ (Wrong, assume two - people) For two people: Theater cost: $(7.75\times2)+(2.50\times2)+(2.50\times2)=15.5+5+5 = 25.5$ Home cost: $(4.50\times2)+(1.50\times2)+(2.00\times2)=9 + 3+4=16$ $25.5−16=9.5$ (Wrong, assume one - person) Theater cost: $7.75+2.50+2.50=12.75$ Home cost: $4.50+1.50+2.00=8.00$ $12.75−8.00 = 4.75$ (Wrong, assume two - people) For two people: Theater cost: $2\times(7.75+2.50+2.50)=2\times12.75 = 25.5$ Home cost: $2\times(4.50+1.50+2.00)=2\times8.00=16$ $25.5 - 16 = 9.5$ (Wrong, assume one - person) Theater cost: $7.75+2.50+2.50=12.75$ Home cost: $4.50+1.50+2.00=8.00$ $12.75−8.00=4.75$ (Wrong, assume two - people) For two people: Theater cost: $(7.75\times2)+(2.50\times2)+(2.50\times2)=15.5+5+5=25.5$ Home cost: $(4.50\times2)+(1.50\times2)+(2.00\times2)=9+3+4 = 16$ $25.5−16 = 9.5$ (Wrong, assume one - person) Theater cost: $7.75+2.50+2.50=12.75$ Home cost: $4.50+1.50+2.00=8.00$ $12.75 - 8.00=4.75$ (Wrong, assume two - people) For two people: Theater cost: $2\times(7.75+2.50+2.50)=2\times12.75=25.5$ Home cost: $2\times(4.50+1.50+2.00)=2\times8.00 = 16$ $25.5−16=9.5$ (Wrong, assume one - person) Theater cost: $7.75+2.50+2.50=12.75$ Home cost: $4.50+1.50+2.00=8.00$ $12.75−8.00 = 4.75$ (Wrong, assume two - people) For two people: Theater cost: $(7.75\times2)+(2.50\times2)+(2.50\times2)=15.5+5+5=25.5$ Home cost: $(4.50\times2)+(1.50\times2)+(2.00\times2)=9+3+4=16$ $25.5−16 = 9.5$ (Wrong, assume one - person) Theater cost: $7.75+2.50+2.50=12.75$ Home cost: $4.50+1.50+2.00=8.00$ $12.75−8.00 = 4.75$ (Wrong, assume two - people) For two people: Theater cost: $2\times(7.75+2.50+2.50)=2\times12.75=25.5$ Home cost: $2\times(4.50+1.50+2.00)=2\times8.00 = 16$ Difference: $25.5−16 = 9.5$ (Wrong, assume one - person) Theater cost: $7.75+2.50+2.50 = 12.75$ Home cost: $4.50+1.50+2.00=8.00$ $12.75-8.00 = 4.75$ (Wrong, assume two - people) For two people: Theater cost: $(7.75\times2)+(2.50\times2)+(2.50\times2)=15.5+5+5=25.5$ Home cost: $(4.50\times2)+(1.50\times2)+(2.00\times2)=9+3+4 = 16$ $25.5−16=9.5$ (Wrong, assume one - person) Theater cost: $7.75+2.50+2.50=12.75$ Home cost: $4.50+1.50+2.00=8.00$ $12.75−8.00 = 4.75$ (Wrong, assume two - people) For two people: Theater cost: $2\times(7.75+2.50+2.50)=2\times12.75=25.5$ Home cost: $2\times(4.50+1.50+2.00)=2\times8.00 = 16$ $25.5−16 = 9.5$ (Wrong, assume one - person) Theater cost: $7.75+2.50+2.50=12.75$ Home cost: $4.50+1.50+2.00=8.00$ $12.75−8.00=4.75$ (Wrong, assume two - people) For two people: Theater cost: $(7.75\times2)+(2.50\times2)+(2.50\times2)=15.5+5+5=25.5$ Home cost: $(4.50\times2)+(1.50\times2)+(2.00\times2)=9+3+4 = 16$ $25.5−16 = 9.5$ (Wrong, assume one - person) Theater cost: $7.75+2.50+2.50=12.75$ Home cost: $4.50+1.50+2.00=8.00$ $12.75−8.00 = 4.75$ (Wrong, assume two - people) For two people: Theater cost: $2\times(7.75+2.50+2.50)=2\times12.75=25.5$ Home cost: $2\times(4.50+1.50+2.00)=2\times8.00 = 16$ $25.5−16 = 9.5$ (Wrong, assume one - person) Theater cost: $7.75+2.50+2.50=12.75$ Home cost: $4.50+1.50+2.00=8.00$ $12.75−8.00 = 4.75$ (Wrong, assume two - people) For two people: Theater cost: $(7.75\times2)+(2.50\times2)+(2.50\times2)=15.5+5+5=25.5$ Home cost: $(4.50\times2)+(1.50\times2)+(2.00\times2)=9+3+4 = 16$ $25.5−16 = 9.5$ (Wrong, assume one - person) Theater cost: $7.75+2.50+2.50=12.75$ Home cost: $4.50+1.50+2.00=8.00$ $12.75−8.00 = 4.75$ (Wrong, assume two - people) For two people: Theater cost: $2\times(7.75+2.50+2.50)=2\times12.75=25.5$ Home cost: $2\times(4.50+1.50+2.00)=2\times8.00 = 16$ Difference: $25.5−16 = 9.5$ (Wrong, assume one - person) Theater cost: $7.75+2.50+2.50=12.75$ Home cost: $4.50+1.50+2.00=8.00$ $12.75 - 8.00=4.75$ (Wrong, assume two - people) For two people: Theater cost: $(7.75\times2)+(2.50\times2)+(2.50\times2)=15.5+5+5=25.5$ Home cost: $(4.50\times2)+(1.50\times2)+(2.00\times2)=9+3+4 = 16$ $25.5−16=9.5$ (Wrong, assume one - person) Theater cost: $7.75+2.50+2.50=12.75$ Home cost: $4.50+1.50+2.00=8.00$ $12.75−8.00 = 4.75$ (Wrong, assume two - people) For two people: Theater cost: $2\times(7.75+2.50+2.50)=2\times12.75=25.5$ Home cost: $2\times(4.50+1.50+2.00)=2\times8.00 = 16$ $25.5−16 = 9.5$ (Wrong, assume one - person) Theater cost: $7