A real estate sales agent receives a salary of $250 per week plus a commission of 2% of sales. a. Identify the Slope m
b. Identify the initial value b
c. Write an equation that gives the weekly income y in terms of sales x .
d. What is his weekly income if the sales were $600.00?

a. The slope m is 0.02

b. The initial value b is 250

c. y = 0.02x + 250

d. His weekly income is $262  if the sales were $600.00

Step-by-step explanation:

the form of the linear equation is y = m x + b, where

∵ A real estate sales agent receives a salary of $250 per week

→ This is a fixed amount every week

∴ b = 250

∵ They give a commission of 2% of sales

→ This value depends on the sales (rate of change)

∵ 2% = 2 ÷ 100 = 0.02

∴ m = 0.02

a. The slope m is 0.02

b. The initial value b is 250

∵ y represents the weekly income

∵ x represents the sales

∵ m = 0.02 and b = 250

∴ The equation is y = 0.02x + 250

c. y = 0.02x + 250

∵ The sales were $600.00

∴ x = 600

→ Substitute it in the equation to find y

∵ y = 0.02(600) + 250

∴ y = 12 + 250

∴ y = 262

d. His weekly income is $262  if the sales were $600.00

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step-by-step explanation: