Question

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. 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. I posted a picture of the graph. Will Mark Brainliest and Give 5 Stars. ​

Answer 1

Answer:

(a) Carl earns $15 per hour.

(b) Carl earns more per hour.

(c) See the attached image.

Step-by-step explanation:

(a) Carl earns $15 per hour. We know this because his pay rate remains the same no matter how many hours he works: $45 ÷ 3 = $15; $75 ÷ 5 = $15; $120 ÷ 8 = $15; and $150 ÷ 10 = $15.

(b) The equation $y=12x$ means that Louis earns $12 per hour, where Carl earns $15 per hour. Therefore, Carl earns more per hour.

(c) See the attached image for the graph.

Answer 2

Comparing the amount earned per hour by both Carl and Louis, Carl's earning per hour is the ratio of the amount earned and the number of hours worked. Hence, the following deduction can be made :

• Carl's earning per hour = $15
• Carl earns more per hour

From the Table :

Carl's earning per hour is the ratio of the amount earned to the number of hours worked

• Earning per hour = Amount earned ÷ number of hours

• Earning per hour = $75 ÷ 5 = $15 per hour.

Carl's earning :

• y = 15x

Louis's earning :

• y = 12x

B.)

We compare the amount earned by Louis and Carl ;

$15 > $12 ; hence, Carl earns more per hour than Louis.

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