Question

The relationship between income (I), in dollars, and the time (h), in hours, for 2 different jobs is represented. Compare the hourly rates of Job A and Job B.

Answer 1

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete. However, I will solve using the following assumptions.

Job A:

$y = 2x + 5$

Job B

$\begin{array}{cccccc}x & {1} & {2} & {3} & {4} & {5} \ \\ y & {6} & {10} & {14} & {18} & {22} \ \end{array}$

The first step is to calculate the rate of Job B using:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where:

$(x_1,y_1) = (1,6)$

$(x_2,y_2) = (2,10)$

So, we have:

$m = \frac{10 - 6}{2 - 1}$

$m = \frac{4}{1}$

$m = 4$

So, the hourly rate of job B is $4/hr

For Job A:

$y = 2x + 5$

A linear equation has the form:

$y = mx + b$

Where m is the rate

By comparison:

$m = 2$

So, the hourly rate of Job A is $2/hr

Comparing both rates, we can draw the following conclusions;

• The hourly rate  of Job A is greater than the hourly rate of Job B
• The hourly  rate of Job A is twice the hourly rate of Job B.