Question

The equation y = 17x describes the amount of money Lewis earns, where x is the number of hours he works and y is the amount of money he earns. The table shows the amount of money Carl earns for different numbers of hours worked. Carl’s Earnings Time (h) 3 5 8 10 Money earned ($) 45 75 120 150 (a) How much money does Carl earn per hour? Show your work on how you found the constant of proportionality for both. (b) Who earns more per hour? Justify your answer by comparing the two. Please use complete sentences. (c) Draw a graph that represents Carl’s earnings over time in hours. Remember to label the axes with the real world quantities that x and y represent.

Answer 1

Kindly check explanation

Explanation:

Given :

Lewis :

y = 17x

x = number of hours worked

y = amount of money earned

Carl:

Carl’s Earnings Time (h) 3 5 8 10

Money earned ($) 45 75 120 150

(a) How much money does Carl earn per hour? Show your work on how you found the constant of proportionality for both.

Money earned = pay per hour * hours worked

$45 = pay per hour * 3

Pay per hour = $45 / 3 = $15

Hence, Carl's earning per hour = $15

(b) Who earns more per hour? Justify your answer by comparing the two. Please use complete sentences.

Lewis : y = 17x

Carl : y = 15x

Where $17 and $15, represents Lewis and Carl's hourly pay respectively.

Hence, Carl earns more.

(c) Draw a graph that represents Carl’s earnings over time in hours. Remember to label the axes with the real world quantities that x