100k views
23 votes
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?

User Vik David
by
4.1k points

2 Answers

11 votes

Answer:

yes

Step-by-step explanation: Khan

User Jang
by
4.4k points
7 votes

Answer:

yes

Explanation:

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

Number of tickets 111 222 333

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 answer: Yes

User RobbieAreBest
by
4.3k points