Question

P < 4.75 represents the prices p in dollars that Paige is willing to pay for popcorn. The inequality p < 8.00 represents the prices p in dollars that Paige is willing to pay for a movie ticket. At how many theaters would Paige be willing to buy a ticket and popcorn?

Answer 1

1 theater

Explanation:

Given

`P<4.75` --- Popcorn

`P < 8.00` --- Movie

See attachment for the table that shows ticket and popcorn prices at five movie theater chains

Required

The number of theaters that supports the given inequality

The given inequality can be combined to give:

`P < 4.75\ and\ P<8.00`

From the table entries, only one theater supports this inequality.

Where

`P = 4.25` --- Movie

`P = 7.25` --- Popcorn

Which gives:

`4.25 < 4.75\ and\ 7.25<8.00`