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Chapter 4: Q. 341 (page 521)

Patel's weekly salary includes a base pay plus commission on his sales. The equation S=750+0.09cmodels the relation between his weekly salary, S, in dollars and the amount of his sales, c, in dollars.

(a) Find Patel's salary for a week when his sales were 0.

(b) Find Patel's salary for a week when his sales were 18,540.

(c) Interpret the slope and S-intercept of the equation.

(d) Graph the equation.

Short Answer

Expert verified
  1. Patel's salary for a week when his sales were 0is$750
  2. Patel's salary for a week when his sales were 18540is $2418.60
  3. The slope, 0.09, means that the man's salary, S, increases by $0.09for every $1 increase in his sales. The Sintercept means that when his sales are $0, his salary is$750.
  4. The graph is shown below:

Step by step solution

01

Given information

The given equation isS=750+0.09c.

02

Determine the intercept.

Substitute 0for cin the given equation.

S=750+0.09(0)=750

Substitute 18540for cin the given equation.

S=750+0.09(18540)=2418.60

03

Determine the slope and S-intercept.

Compare S=750+0.09cwith y=mx+bwhere mbe the slope and bbe the y-intercept of the equation.

m=0.09and b=750

The graph of the equation is shown below:

04

Write the conclusion

  1. The value of Swhen c=0is $750.
  2. The value of Swhen c=18540is $2418.60.
  3. The slope is 0.09and S-intercept is $750.
  4. The graph is shown below:

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