Question

each day, charmaine earns a fixed wage plus extra money for every hour of overtime she works. the graph shows her total pay (in dollars) versus the amount of overtime (in hours) that she works.
(a) what is charmaine’s total pay with 0 hours of overtime?
$
(b) choose the statement that best describes how the amount of overtime and total pay are related. then fill in the blank.
as the amount of overtime increases, the total pay decreases.
at what rate is the total pay decreasing?
$ per hour
as the amount of overtime increases, the total pay increases.
at what rate is the total pay increasing?
$ per hour

Explanation:

Step1: Analyze part (a)

The graph shows total pay (y - axis) vs overtime hours (x - axis). When \(x = 0\) (0 hours of overtime), we look at the y - intercept. From the graph, when \(x = 0\), the total pay is the fixed wage. Looking at the y - axis, the value at \(x = 0\) is 80 dollars (assuming the y - axis starts at 80 when \(x = 0\)).

Step2: Analyze part (b)

The graph is a straight line with a positive slope (since as overtime hours \(x\) increase, total pay \(y\) increases). So the relationship is: As the amount of overtime increases, the total pay increases. To find the rate, we can take two points. Let's assume when \(x = 0\), \(y=80\) and when \(x = 4\), \(y = 120\) (estimating from the graph). The slope \(m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{120 - 80}{4-0}=\frac{40}{4} = 10\) dollars per hour. So the rate is 10 dollars per hour.

Answer:

(a) Charmaine's total pay with 0 hours of overtime is 80 dollars.
(b) The statement is: "As the amount of overtime increases, the total pay increases." The rate is 10 dollars per hour.