Question

1. two weeks ago, audrey earned $84 for 7 hours of work. this week, she earned $132 for 11 hours of work. find the numerical value of the slope of the line that represents audrey’s earnings.
2. the ordered pairs (1, 4), (3, 12), and (5, 20) represent the distance y that jairo walks after x seconds. plot the ordered pairs on the coordinate plane and draw a line through the points.

find the slope of the line and explain what the slope represents.

Explanation:

For Question 15:

Step1: Define ordered pairs

Let $(x_1, y_1)=(7, 84)$ and $(x_2, y_2)=(11, 132)$

Step2: Apply slope formula

Slope $m=\frac{y_2-y_1}{x_2-x_1}=\frac{132-84}{11-7}$

Step3: Calculate slope value

$m=\frac{48}{4}=12$

Step1: Pick two ordered pairs

Use $(x_1, y_1)=(1, 4)$ and $(x_2, y_2)=(3, 12)$

Step2: Compute the slope

Slope $m=\frac{y_2-y_1}{x_2-x_1}=\frac{12-4}{3-1}$

Step3: Simplify to find slope

$m=\frac{8}{2}=4$

Step4: Interpret the slope

The slope represents Jairo's walking speed, as it is the ratio of distance (y) to time (x).

Answer:

12

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For Question 16: