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

Answer:

The answer is the option C

$y=0.85x+2.55$

Step-by-step explanation:

Let

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

y------> the cost

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

$m=\frac{y2-y1}{x2-x1}$

we have

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

Substitute the values

$m=\frac{8.5-4.25}{7-2}$

$m=\frac{4.25}{5}=0.85\frac{\ }{mi}$

Find the equation of the line

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

$y=mx+b$

we have

$m=0.85\frac{\ }{mi}$

$A(2,4.25)$

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

$y=0.85x+2.55$