Eugens Computer repaor charges a one -time fee to run mandatory diagnostics test on a laptop in order to determine what is wrong plus an hourly rate to repair it the function c=20t +59 can be used to determine the cost c to repair a laptop after t hours selce all tht is true

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The
x
x
-intercept for the function is 59.

it costs $20 per hour to repair a laptop.

the slope of the function is 20.

a laptop that requires 3 hours of repair will cost $60.

Answer 1

Let's analyze the function \( c = 20t + 59 \):

1. x-intercept: The x-intercept occurs when \( c = 0 \). Setting the equation to zero, we solve for \( t \): \[ 0 = 20t + 59 \implies 20t = -59 \implies t = -\frac{59}{20} \] So, the x-intercept is actually negative, and the statement that the x-intercept is 59 is false.

2. Cost per hour: The term \( 20t \) indicates that it costs $20 for each hour of repair, which is true.

3. Slope of the function: The coefficient of \( t \) (which is 20) represents the slope of the function, so the slope of the function is indeed 20. This statement is true.

4. Cost for 3 hours of repair: To find the total cost for 3 hours, we substitute \( t = 3 \) into the equation: \[ c = 20(3) + 59 = 60 + 59 = 119 \] Therefore, a laptop that requires 3 hours of repair will cost $119, not $60. This statement is false.

In summary, the true statements are:

• It costs $20 per hour to repair a laptop.
• The slope of the function is 20.