Question

Melody is paid $M per week. She earns a weekly flat wage of $80 plus an additional $0.15 for each of the n customers she advises. Her salary, in terms of the number of customers she advises, n, is represented by the equation . a. Find the salary she receives for advising 360 customers per week for 4 consecutive weeks. b. Melody received $140 at the end of a certain week. How many customers did she advise that week? c. Melody's employer decides to decrease her basic wage to $65 and increase her salary per customer advised to $0.21. Write a linear equation to represent her new salary, M, in n terms of the number of customers she advises, n. d. Find the number of customers she would have to advise in one week to receive the same amount of money before the decrease in basic wage. If you are able, use the text box to show your work and enter your final answer to each question. If not, complete your work on paper and upload it below.

Answer 1

A. $536

B. 400 customers

C. M = 65 + 0.21n

D. 250 customers

Explanation:

Let

n = number of customers she advises

M = Earnings per week

M = 80 + 0.15n

A. 360 customers per week for 4 consecutive weeks

M = 80 + 0.15n

Let n = 360

M = 80 + 0.15n

= 80 + 0.15(360)

= 80 + 54

= 134

M = $134

Earnings per week for four consecutive week = M × 4

= $134 × 4

= $536

B. Melody received $140 at the end of a certain week

M = $140

M = 80 + 0.15n

140 = 80 + 0.15n

140 - 80 = 0.15n

60 = 0.15n

n = 60 / 0.15

= 400

n = 400

Melody advised 400 customers that week

C. decrease her basic wage to $65 and increase her salary per customer advised to $0.21.

M = 65 + 0.21n

D.

Earnings before change in earnings

M = 80 + 0.15n

Earnings after change in earnings

M = 65 + 0.21n

Equates both earnings

80 + 0.15n = 65 + 0.21n

80 - 65 = 0.21n - 0.15n

15 = 0.06n

Divide both sides by 0.06

n = 15 / 0.06

= 250

n = 250 customers