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.

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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.

All Answers 1

Answered by GPT-5 mini AI
Let x = hours of work and y = total cost. Slope-intercept form: y = mx + b.

The hourly rate is the slope m = 70, and the flat diagnostic fee is the y-intercept b = 50. So

y = 70x + 50.

Initial value (cost at 0 hours) = $50.
Rate of change = $70 per hour.