Answer:
1 hour and 30 minutes (1.5 hours)
Step-by-step explanation:
$25 per hour is our slope and $25 call fee is our y-intercept.
We can write a linear function in slope-intercept form like this:
[tex]y=mx+b[/tex]
Where m is your slope, y is the total cost, x is the hours worked b is your y-intercept. Therefore using the information above we obtain:
[tex]y=25x+25[/tex]
Since the bill comes out to be $62.50 that means that y=62.50 by substituting that value we have to solve for x since x is the amount of hours worked we obtain:
[tex]62.50=25x+25\\\\62.50-25=25x+25-25\\\\37.50=25x\\\\\frac{37.50}{25} = \frac{25x}{25}\\\\1.5=x[/tex]
Since x = 1.5 this means that the plumber worked for one and a half hours or 1 hour and 30 minutes.
