A movie theater charges \$10.50$10.50dollar sign, 10, point, 50 per ticket and \$5$5dollar sign, 5 per bucket of popcorn. You never buy the popcorn because you think it's too expensive. Is the total price you pay proportional to the number of tickets you buy?

yes

Step-by-step explanation:

Let's make a table to see the total price for different numbers of tickets.

Number of tickets111222333

Total price\$10.50$10.50dollar sign, 10, point, 50\$21$21dollar sign, 21\$31.50$31.50dollar sign, 31, point, 50

Hint #22 / 4

For each number of tickets bought, let's write the relationship of total price to number of tickets as a ratio in simplest form.

\dfrac{\$10.50}{1} = \$10.50 \dfrac{\$21}{2} = \$10.50 \dfrac{\$31.50}{3} = \$10.50  

1

$10.50

=$10.50          

2

$21

=$10.50          

3

$31.50

=$10.50start fraction, dollar sign, 10, point, 50, divided by, 1, end fraction, equals, dollar sign, 10, point, 50, space, space, space, space, space, space, space, space, space, start fraction, dollar sign, 21, divided by, 2, end fraction, equals, dollar sign, 10, point, 50, space, space, space, space, space, space, space, space, space, start fraction, dollar sign, 31, point, 50, divided by, 3, end fraction, equals, dollar sign, 10, point, 50

Hint #33 / 4

All of the ratios between the two quantities can be simplified to \$10.50$10.50dollar sign, 10, point, 50, so the quantities are proportional.

Hint #44 / 4

The Yes

step-by-step explanation: