Question

Two friends, Jack and Bella, took summer jobs. The graph below represents Bella's earnings in dollars and cents, yy, for working xx hours. The table below represents Jack's earnings in dollars and cents, yy, for working xx hours. Use the dropdown menu and answer blank below to form a true statement.

Answer 1

Based on the graph and table, Jack earns $4.10 more than Bella.

How the difference in earnings is worked out:

Bella's Graph:

Coordinates (10, 151) and (20, 302)

Slope = (
`y_2` -
`y_1`)/(
`x_2` -
`x_1`)

(302 - 151)/(20 - 10)

151/10

= 15.1

Bella's earnings per hour = $15.10

Jack's Table:

Coordinates (5, 96) and (15, 288)

Slope = (
`y_2` -
`y_1`)/(
`x_2` -
`x_1`)

(288 - 96)/(15 - 5)

192/10

= 19.2

Jack's earnings per hour = $19.20

The difference between Jack's and Bella's earnings per hour = $4.10 ($19.20 - $15.10)

Thus, we can conclude that Jack earns $4.10 more per hour than Bella.