Answer:
Amount charged for 35 miles is $ 38.75
If amount charged is $ 42.50 then distance travelled is 50 miles
Step-by-step explanation:
Equation that represents the cost is [tex]y=30+0.25x[/tex]
Here,
x denotes the number of miles
$ 30 is the amount of rent per week
$ 0.25 is amount charged for 1 mi
To find cost if distance travelled is 35 miles, put [tex]x=35[/tex] in [tex]y=30+0.25x[/tex]
Cost (y) = [tex]30+0.25(35)=\$38.75[/tex]
So,
Amount charged for 35 miles is $ 38.75
To find number of miles for which amount charged is $ 42.50, put [tex]y=42.50[/tex] in [tex]y=30+0.25x[/tex]
[tex]42.50=30+0.25x\\42.50-30=0.25x\\12.5=0.25x\\x=\frac{12.5}{0.25} \\x=50[/tex]
So,
if amount charged is $ 42.50 then distance travelled is 50 miles.
