Question

A 2-mi cab ride costs $4.25. A 7-mi cab ride costs $8.50. Which equation models the cost y of a cab ride that is x miles?

a.Y= -0.85x+2.55
b.Y= 0.85x-2.55
c. Y= 0.85x+2.55
d. Y= -0.85x-2.55

Answer 1

I believe that it would be C

Answer 2

The answer is the option C

`y=0.85x+2.55`

Explanation:

Let

x-------> the number of miles

y------> the cost

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

we have

`A(2,4.25), B(7,8.50)`

Substitute the values

`m=(8.5-4.25)/(7-2)`

`m=(4.25)/(5)=0.85(\$)/(mi)`

Find the equation of the line

The equation of the line into slope-intercept form is equal to

`y=mx+b`

we have

`m=0.85(\$)/(mi)`

`A(2,4.25)`

substitute and solve for b

`4.25=0.85(2)+b`

`b=4.25-1.70=2.55`

The equation of the line is equal to

`y=0.85x+2.55`