Question

A computer technician charges a fee of $50 to diagnose a problem and $70 per hour to fix it. Write an equation in slope-intercept form to represent this situation. Identify the initial value and the rate of change.

Show your work.

(1 point)
Responses

The initial value is $50 and the rate of change is $70.
The initial value is $50 and the rate of change is $70.

The initial value is $120.
The initial value is $120.

The rate of change is $120.
The rate of change is $120.

The initial value if $70 and the rate of change is $50

Answer 1

Let x = hours of work and y = total charge (dollars). The slope-intercept form is y = mx + b, where m is the rate per hour and b is the initial fee.

Here m = 70 and b = 50, so
y = 70x + 50.

Initial value (y-intercept) = $50 (the diagnosis fee).
Rate of change (slope) = $70 per hour.