Question

Desmond decided to babysit for extra money over the summer. He decided to charge a flat rate of $15 to babysit and then charged $10 for every hour he babysat.

Answer 1

The $15 is constant

Let the hours be x

Since the charge per hour is $10

Then it means that the total cost increase by $ 10 every hour

If x is the number of hours

Then total cost = 15 + 10 X x

Total cost => 15 + 10x

If the total cost is represented by T

then T = 15 + 10x

when re-arranged

T = 10x + 15. This is a linear function

comparing the above equation to the equation of a line y = mx + c

with m being the slope

comparing coefficient, m = 10

the slope of the equation is 10

The slope of the linear function is 10