# Algebra

Sue is offered a new job selling furniture where she makes a base pay of $1500 a month plus commission. According to a current employee, she should be able to earn $30,000 in sales monthly. To maintain her standard of living she must make $3000 total monthly. What commission rate must she earn to maintain her standard of living?

4.5%

5%

5.5%

6%

Given that a line passes through two points (4, 5) and (6, 9), answer the following questions:

a. What is the slope of the line?

b. What is the equation of the line in slope intercept form?

c. What is the equation of the line in point slope form?

d. What is the equation of the line in standard form?

Write the equation of the linear function passing through the points (2, 3) and

(4, 5) in slope intercept form.

A y=x-5

B y=x+5

C y=x+4

D y=x+1

Write the equation of the linear function passing through the points (6,3) and

(7,8) in standard form.

A -5x + y = -27

B -x - 5y = 3

C y - 5x = 27

D y = 5x +27

Determine the linear function that models the directly proportional data in the following chart.

R S

42.0 294.00

54.5 381.50

66.0 462.00

A S=5R

B R=5S

C R=7S

D S=7R

In order for the function shown in the table to be linear, what must be the value of b?

40 72

45 84

50 96

55 b

60 120

A 132

B 110

C 84

D 108

#### Solution Summary

The solution does a great job of clearly listing out the steps that are needed to get to the answer. The student can then use these steps and concepts and apply them to similar problems in the future. The response is very detailed and easy to follow along. In the attachment the correct answer is indicated in red with a thorough explanation of the answer. Overall, an excellent response.