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denis-greek [22]
3 years ago
15

The graph shows the charges of an instructor. The instructor charges an initial fee and then an hourly rate of $8.00 an hour for

private lessons. Determine the instructor’s initial charge from the graph.

Mathematics
2 answers:
Anastaziya [24]3 years ago
5 0

Answer:

the real answer is $8.00 (D)

And the other one is also $20.00

Step-by-step explanation:

Tasya [4]3 years ago
4 0

Answer:

The instructor’s initial charge is $20

see the attached figure

Step-by-step explanation:

Let

x ----> the time in hours

y ----> the total cost in dollars

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope or the unit rate of the linear equation

b is the y-intercept or initial value (in this problem is the instructor’s initial charge)

we have

The slope is equal to the  hourly rate

so

m=\$8.00\ per\ hour

substitute

y=8.00x+b

To find out the y-intercept join the given points in the graph and find out the value of y when the value of x is equal to zero

see the attached figure

The y-intercept is the point (0,20)

therefore

The instructor’s initial charge is $20

<u><em>Verify</em></u>

take any point on the graph

(5,60)

For x=5, y=60

substitute in the linear equation and solve for b

60=8.00(5)+b

60=40+b

b=\$20 ----> is ok

therefore

The instructor’s initial charge is $20

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