Compare constants of proportionality

Google Classroom

Problem

Cars A, B, and C are travelling at constant speeds.

Select the car that travels the fastest.

Choose 1 answer:

Choose 1 answer:

• (Choice A, Incorrect)

  INCORRECT

  

  $\Huge{50}$$\Large{\text{km/h}}$Car A

  Car A is traveling at $50$50 kilometers per hour. Which car travels the greatest number of kilometers per hour?
• (Choice B, Checked, Correct)

  CORRECT (SELECTED)

  Car B travels a distance of $d$d kilometers in $h$h hours, based on the equation $55h=d$55, h, equals, d.
• (Choice C, Incorrect)

  INCORRECT

  Car C travels $135$135 kilometers in $3$3 hours.

  Car C is traveling at $45$45 kilometers per hour. Which car travels the greatest number of kilometers per hour?

Hint #11 / 5

Let's compare the constants of proportionality (also called the unit rates) for each option to see which car travels the most kilometers in $1$1 hour.

Hint #22 / 5

$\Huge{50}$$\Large{\text{km/h}}$Car A

The unit rate for car A is $\purpleD{50}$start color #7854ab, 50, end color #7854ab kilometers per hour.

Hint #33 / 5

Car B travels a distance of $d$d kilometers in $h$h hours, based on the equation $55h=d$55, h, equals, d.

The number of kilometers is $\blueD{55}$start color #11accd, 55, end color #11accd times the number of hours. The unit rate for car B is $\blueD{55}$start color #11accd, 55, end color #11accd kilometers per hour.

Hint #44 / 5

Car C travels $135$135 kilometers in $3$3 hours.

The number of kilometers is $\greenD{45}$start color #1fab54, 45, end color #1fab54 times the number of hours. The unit rate for car C is $\greenD{45}$start color #1fab54, 45, end color #1fab54 kilometers per hour.

Hint #55 / 5

Car B travels the most kilometers per hour, so car B is the traveling the fastest.