Question

The equation y = 11x 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 ($) 42 70 112 140 (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. Label the axes

Answer 1

See explanation

Explanation:

The equation y = 11x 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. When x = 1 hour, y = 11, so Louis earns $11 per hour

Carl's earning

`\begin{array}{cc}\text{Time }h&\text{Money earned }\$\\3&42\\5&70\\8&112\\10&140\end{array}`

A. Since

`(42)/(3)=(70)/(5)=(112)/(8)=(140)/(10)=14`

Carl earns $14 per hour.

B. Carl earns $14 per hour

Louis earns $11 per hour.

Carl earns $3 more per hour.

C. Plot points from the table on the coordinate plane and connect them with the straight line - this is the graph that represents Carl’s earnings over time in hours.