Question

The table below shows the relationship between the number of hours a computer programming project takes and the cost charged by a programmer.

Hours(x) 4 6 8 10
Cost(y) $725 $975 $1225 $1475

Write a linear equation in slope- intercept form that describes the relationship form that describes the relationship in terms of x and y.


How much does the programmer charger per hour?


How much does the programmer charge for a 25-hour long project?

Answer 1

y = 125x+225

The programmer chargers a flat fee of 225 and then $125 per hour.

The charge for a 25 hour project is $3350

Explanation:

To find the slope (y2-y1)/(x2-x1)

m = (1475-725)/(10-4)

= 750/6

=125

The slope is $125

Using the point slope form of the equation for a line

y-y1 = m(x-x1)

y-725 = 125(x-4)

Distribute the 125

y-725 =125x-500

Add 725 to each side

y-725+725 = 125x-500+725

y = 125x+225

The programmer chargers a flat fee of 225 and then $125 per hour.

If you have a 25 hour long project, let x =25

y = 125(25) + 225

y= 3125+225

y = 3350