Question

1. the table shows the sales of plain and asiago cheese bagels at a bakery for h hours. after 6 hours, how much more will the bakery have made in sales of asiago cheese bagels than the sales of plain bagels? 15. derek owns a snack shop where he sells tins of buttered and caramel popcorn. the table shows the number of each type of popcorn sold over w weeks. after 12 weeks, how much more will he have made in sales of buttered popcorn than the sales of caramel popcorn?

Explanation:

Step1: Calculate Asiago sales at 6h

Substitute $h=6$ into $12h+7$:
$12(6)+7 = 72+7=79$
Total Asiago sales: $79\times1.50 = 118.5$

Step2: Calculate plain sales at 6h

Substitute $h=6$ into $7h-4$:
$7(6)-4 = 42-4=38$
Total plain sales: $38\times1.50 = 57$

Step3: Find sales difference (Q14)

Subtract plain sales from Asiago sales:
$118.5 - 57 = 61.5$

Step4: Calculate buttered sales at 12w

Substitute $w=12$ into $8w+9$:
$8(12)+9 = 96+9=105$
Total buttered sales: $105\times11 = 1155$

Step5: Calculate caramel sales at 12w

Substitute $w=12$ into $5w-1$:
$5(12)-1 = 60-1=59$
Total caramel sales: $59\times11 = 649$

Step6: Find sales difference (Q15)

Subtract caramel sales from buttered sales:
$1155 - 649 = 506$

Answer:

1. The bakery will have made $\$61.50$ more in Asiago cheese bagel sales than plain bagel sales after 6 hours.
2. Derek will have made $\$506$ more in buttered popcorn sales than caramel popcorn sales after 12 weeks.