Question

PLEASE HELP ME WITH THIS. 20 POINTS

Relationship A has a greater rate than Relationship B. This table represents Relationship B.


Hours worked 2 4 5 8

Amount paid ($) 25 50 62.50 100

Which equation could represent Relationship A?


Hours worked is represented by x and Amount paid is represented by y.


Select each correct answer.

A. y = 13x
B. y = 11.5x
C. y = 12.25x
D. y = 12.75x

Answer 1

y=12.75x and y=13x

Explanation:

The rate of change is another name for slope. To find the slope of Relationship B, we use the formula

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

Using the first two points, we have

m = (50-25)/(4-2) = 25/2 = 12.5

This means that anything with a rate of change greater than 12.5 works in this problem.

The equations listed for Relationship A are in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept (in all of these, b = 0).

In the first equation, m = 13; in the second equation, m = 11.5; in the third equation, m = 12.75; and in the fourth equation, m = 12.25. The only ones with higher slopes than Relationship B are the first and the third one.

Answer 2

12.25 and 13x

Explanation:

took the test (k12)