Question

in 1–3, solve the rate problems.

1. jason and his family travel 160 miles in 3.2 hours. if they continue at this constant speed, how long will it take them to travel 300 miles? complete the table.

it will take jason and his family \square hours to travel 300 miles.
\

$$\begin{tabular}{|c|c|} \\hline time (hours) & distance (miles) \\\\ \\hline 1 & \\square \\\\ \\hline 3.2 & 160 \\\\ \\hline \\square & 300 \\\\ \\hline\\end{tabular}$$

1. a space shuttle orbits earth at a rate of about 4,375 miles in 15 minutes. at this rate, how far does the space shuttle travel around earth in 1 hour?
2. a store sells 4 cans of beans for $9. what is the price of 7 cans of beans?

Explanation:

Problem 1

Step1: Find the speed (distance per hour)

Speed \( v = \frac{\text{Distance}}{\text{Time}} = \frac{160}{3.2} = 50 \) miles per hour. So in 1 hour, they travel 50 miles.

Step2: Find time for 300 miles

Time \( t = \frac{\text{Distance}}{\text{Speed}} = \frac{300}{50} = 6 \) hours.

Step1: Convert 1 hour to minutes (1 hour = 60 minutes)

Step2: Find how many 15 - minute intervals are in 60 minutes (\( \frac{60}{15}=4 \))

Step3: Calculate distance in 1 hour (distance in 15 minutes is 4375 miles, so in 1 hour: \( 4375\times4 = 17500 \)) miles.

Step1: Find price per can

Price per can \( p=\frac{9}{4}=2.25 \) dollars per can.

Step2: Find price for 7 cans

Price for 7 cans \( = 2.25\times7 = 15.75 \) dollars.

Answer:

(Table and Time):

• For time = 1 hour, distance = 50 miles.
• Time to travel 300 miles: 6 hours.

Problem 2