Question

A theater sells a snack combo for
$
10
and typically sells
150
per night. For each
$
1
increase in price, they expect to sell
10
fewer combos. The expression
(
10
+
x
)
(
150
−
10
x
)
models the expected nightly revenue if the prices increases by
x
dollars.



What does the factor
(
150
−
10
x
)
in the expression represent?



A.
the new price of each snack combo after the price increase

B.
the new number of snack combos that will be sold at the increased price

C.
the increase in revenue caused by increasing the price of the snack combos

D.
the reduction in revenue caused by selling fewer snack combos at the increased price

Answer 1

B. The expression 150 − 10x is the new number of combos sold: starting at 150, sales drop by 10 for each $1 increase, so they sell 150 − 10x combos when price rises by x dollars.