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Chapter 4: Q. 640 (page 571)

Katherine is a private chef. The equation C=6.5m+42models the relation between her weekly cost, C, in dollars and the number of meals, m, that she serves.

鈸� Find Katherine鈥檚 cost for a week when she serves no meals.

鈸� Find the cost for a week when she serves 14 meals.

鈸� Interpret the slope and C-intercept of the equation.

鈸� Graph the equation.

Short Answer

Expert verified

The cost for a week is$42 and cost of a week for 14meals is $133

The slope is 6.5and intercept is 42

The graph is

Step by step solution

01

Part(a) Step 1. Given Information

The given equation is:

C=6.5m+42

whereC=weekly cost

m=numberofmeals

02

Part(a) Step 2. Required Cost

When m=0

The equation becomes

C=6.5(0)+42C=42

Therefore,

The cost is$42

03

Part (b) Required Cost

When m=14

The equation becomes,

c=6.5(14)+42c=91+42c=133

Therefore, the cost for 14meals is$133.

04

Part (c) Step 1. Intercept and Slope

The given equation is comparable to y=mx+c

Where m=Slope

and c=C-intercept.

Therefore, in equation

C=6.5m+42m=6.5c=42

05

Part (d) Required graph

The graph of the given equation will be

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