Answer: [tex]y=2.75x+7.5[/tex], 10 miles
Step-by-step explanation:
Given
The company charges $2.75 per mile
The total charge is $29.50
Also, x represents the number of miles and y represents the total cost of the cab ride
Assume extra charge be c
for 8 miles, the charge is
[tex]\Rightarrow 29.50=2.75\times 8+c\\\Rightarrow c=\$7.5[/tex]
The slope-intercept form of the information is
[tex]\Rightarrow y=2.75x+7.5[/tex]
for $35 charge, miles covered
[tex]\Rightarrow 35=2.75x+7.5\\\Rightarrow 2.75=27.5\\\Rightarrow x=10\ \text{miles}[/tex]
