Compare constants of proportionality

Google Classroom

Problem

Select the employee who earns the most per hour.

Choose 1 answer:

Choose 1 answer:

• (Choice A, Incorrect)

  INCORRECT

  Ares calculates the total amount $E$E, in dollars, that he earns for working $h$h hours using the equation $E=8.75h$E, equals, 8, point, 75, h.

  Ares earns $\$8.75$dollar sign, 8, point, 75 per hour. Which employee earns the most per hour?
• (Choice B, Checked, Correct)

  CORRECT (SELECTED)

  

  $\small{2}$$\small{4}$$\small{16}$$\small{32}$$\small{48}$$\small{64}$dollarshoursGiorgio
• (Choice C, Incorrect)

  INCORRECT

  Reyna

  Hours	Total earned
  $3$3	$\$28.50$dollar sign, 28, point, 50
  $8$8	$\$76$dollar sign, 76
  $40$40	$\$380$dollar sign, 380

  Reyna earns $\$9.50$dollar sign, 9, point, 50 per hour. Which employee earns the most per hour?

Hint #11 / 5

Let's compare the constants of proportionality (also called the unit rates) for each option to see which employee earns the most for working $1$1 hour.

Hint #22 / 5

Ares calculates the total amount $E$E, in dollars, that he earns for working $h$h hours using the equation $E=8.75h$E, equals, 8, point, 75, h.

The total amount earned is $\purpleD{8.75}$start color #7854ab, 8, point, 75, end color #7854ab times the number of hours. The unit rate for Ares is $\purpleD{8.75}$start color #7854ab, 8, point, 75, end color #7854ab dollars per hour.

Hint #33 / 5

$\small{2}$$\small{4}$$\small{16}$$\small{32}$$\small{48}$$\small{64}$dollarshoursGiorgio$(4,48)$

We can select a point on the graph to help us find the unit rate. Giorgio earns a total of $\$48$dollar sign, 48 for working $4$4 hours.

The total amount earned is $\blueD{12}$start color #11accd, 12, end color #11accd times the number of hours. The unit rate for Giorgio is $\blueD{12}$start color #11accd, 12, end color #11accd dollars per hour.

Hint #44 / 5

Reyna

Hours	Total earned
$3$3	$\$28.50$dollar sign, 28, point, 50
$8$8	$\$76$dollar sign, 76
$40$40	$\$380$dollar sign, 380

The total amount earned is $\greenD{9.5}$start color #1fab54, 9, point, 5, end color #1fab54 times the number of hours. The unit rate for Reyna is $\greenD{9.50}$start color #1fab54, 9, point, 50, end color #1fab54 dollars per hour.

Hint #55 / 5

Giorgio has the highest unit rate per hour, so Giorgio earns the most per hour.