3. the equation y = 12x describes the amount of money louis 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.
(b) who earns more per hour? justify your answer.
(c) draw a graph that represents carl’s earnings over time in hours. remember to label the axes.

a) Carl earned $15 per hour.

b) Carl earns more per hour than Louis.

Step-by-step explanation:

Since we have given that

Time (h)                   3   5   8   10

Money earned ($) 45 75 120 150

(a) How much money does Carl earn per hour? Show your work.

So, the amount earned per hour is given by

Carl earned $15 per hour.

(b) Who earns more per hour? Justify your answer.

Since the amount of money Louis earns is expressed as

Earn per hour for her would be

So, Carl earns more per hour than Louis.

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

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40