Solving Linear Equations and Inequalities: Movie Math

At the start of the film, Ralph and Vanellope are talking to each other on the 50-yard line. If there are 3 feet in every yard, which linear equation represents converting from yards to feet, where y = feet and x = yards.

• $y=3x$

• $y=\frac{1}{3}x$

• $3y=x$

• None of the above

A football field is normally 120 yards long. However, the field Ralph visits fits on a 19” monitor, which has a length of 16 inches and a width of 12 inches. What is the area of the field?

• 190 ft

• 190 feet squared

• 28 feet

• 28 feet squared

• None of the Above

The Sugar Rush steering wheel has a bid of $200 USD. Litvak says that is “more than the game earns in a year.” Assuming the game costs $0.25 to play, how many times could the game be played each year?

• The game is played 800 times each year.

• The game is played 800 times or less each year.

• The game could be played 800 times or more each year.

• None of the above

Ralph and Vanellope bid $27,001.00 on the Steering Wheel. Assuming each game costs $0.25 cents to play, how many games must be played to earn such a large amount?

• The game must be played 6,750 times to earn $27,0001.

• The game must be played 108,004 times to earn $27,0001.

• The game must be played 675,025 times to earn $27,0001.

• None of the above

Using your answers from #3 and #4, determine how many years it would take at the current rate to earn $27,001.00 playing Sugar Rush?

• The game must be played for 135 years to earn $27,0001.

• The game must be played for 800 years to earn $27,0001.

• The game must be played 86 years to earn $27,0001.

• None of the above

Assume that Buzzvideo pays at the rate of $0.03 for every 1,000 hearts. How many hearts did Ralph’s video get to earn $43?

• 1,433,333 hearts

• 1,277,000 hearts

• 1,688,000,000 hearts

• None of the above

Maybe tells Ralph that one video has been very successful for 2 weeks in a row. “That’s a fortnight of bee puns,” he says. If a year has 26 fortnights, how many days are in a fortnight?

• 4

• 14

• 40

• None of the above

With only 5 hours left, Yesss announces that Ralph needs to earn 200 million more hearts. How many hearts does Ralph need to earn each hour to meet his goal?

• Ralph must earn at least 50 million hearts each hour.

• Ralph must earn at least 60 million hearts each hour.

• Ralph must earn at least 70 million hearts each hour.

• None of the above.

Using the ratio of $43 per 1.4 million hearts, how much money will Ralph earn when he receives 200 million hearts?

• $86.93

• $6,142.85

• $93,507.29

• None of the above

Using your answer from #9, how much money has Ralph earned before Yesss sends her troops out to earn 200 million more hearts?

• $14,378.12

• $17,253.92

• $25,8987.05

• None of the above