Question

Chloe and Sam started jobs. The table represents Chloe's earnings in dollars, y
, for working x
hours and the graph represents Sam's earnings in dollars, y
, for working x
hours. Who earns more per hour? How much more per hour is made?

This question requires you to show your work.

y
$550
Chloe's Earnings
$500
$450
Hours (x)
Earnings (y)
$400
5
$121
10
$242
15
$363
Earnings
$350
$300
$250
20
$484
$200
$150
$100
$50
Sam's Earnings
0
5
10
15 20 25 30 35 40
Hours Worked
X
45
15
50
55
(1 point)
Responses

Chloe; $4.20 more an hour
Chloe; $4.20 more an hour

They make the same per hour.
They make the same per hour.

Chloe; $21.00 more an hour
Chloe; $21.00 more an hour

Sam; $20.00 more an hour

Answer 1

Find each person's hourly rate (slope = change in dollars ÷ change in hours).

Chloe:
From the table, between 5 and 10 hours earnings go from $121 to $242.
Hourly rate = (242 − 121) ÷ (10 − 5) = 121 ÷ 5 = $24.20 per hour.

Sam:
From the graph pick two clear points (for example (0, $0) and (15, $300)).
Hourly rate = (300 − 0) ÷ (15 − 0) = 300 ÷ 15 = $20.00 per hour.

Difference:
Chloe − Sam = $24.20 − $20.00 = $4.20.

Answer: Chloe; $4.20 more per hour.