Question

Time (hours) Cost (dollars) 1 180 2 240 3 300 4 360 5 420 6 480 7 540 8 600 The table gives the cost for renting a limousine from Grey’s Limousine Rental. Which equation represents the company's fare structure, based on the amount of time it is rented? A. y = 60x B. y = 120x + 60 C. y = 60x + 120 D. y = 75x + 60

Answer 1

For this case we have:

By definition, two points are needed to find the equation of a line. We have a series of points given by:

$(x, y) = (time, cost)$

We chose two points:

$(t1, c1) = (1,180)\\(t2, c2) = (2,240)$

By definition, the formula of the slope is given by:

$m =\frac{(c2-c1)}{(t2-t1)}$

Substituting:

$m =\frac{240-180}{2-1}$

$m =\frac{60}{1}\\m = 60$

Being a line of the form $y = ax + b$, we substitute a point and the slope found to find the cut point b.

$180 = 60 * 1 + b\\180 = 60 + b\\b = 180-60\\b = 120$

Thus, the equation of the line is given by:

$y = 60x + 120$

Answer:

Option C

Answer 2

Answer:

C

Step-by-step explanation:

I took it and got it right