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Tom [10]
3 years ago
11

A computer programmer charges $45 an hour for a coding projects plus a start-up fee of $150.

Mathematics
1 answer:
Mama L [17]3 years ago
5 0

Answer:

Part 1) y=45x+150

Part 2) The total charge is \$1,175

Step-by-step explanation:

Part 1) Write an equation in slope-intercept form to represent the total cost, y, of a project that takes x hours

Let

x ----> the number of hours

y ----> the total cost

we know that

The equation of the in slope intercept form is

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem we have that the charge of  $45 an hour for a coding projects is equal to the slope m of the linear equation

so

m=45\frac{\$}{hour}

The y-intercept is the value of y when the value of x is equal to zero

In this problem the y-intercept is the total cost when the number of hours is equal to zero (the y-intercept is the start-up fee of $150)

so

b=\$150

The linear equation is

y=45x+150

Part 2) How much does the programmer charge for a coding project that takes 25 hours?

For x=25 hours

substitute in the linear equation and solve for y

y=45(25)+150

y=\$1,175

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Like we did in 4(a), first find the equation of line AB and then substitute the coordinates of point C in equation and if they satisfy the equation, then all the three points lie on the straight line.

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