Question

Need help with the last part I know I need to do 55x+60 = ? But I don’t know what ? Is

Answer 1

Answer:

- Discount car rentals charges less daily

- After 3 days

Step-by-step explanation:

Required

Which charges less per day

When is the total cost the same

First, calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

From the table, we have:

$(x_1,y_1) = (2,185)$

$(x_2,y_2) = (6,345)$

So, we have:

$m = \frac{345 - 185}{6 - 2}$

$m = \frac{160}{4}$

$m = 40$

The equation is then calculated as:

$y = m(x - x_1) + y_1$

$y = 40(x - 2) + 185$

$y = 40x - 80 + 185$

$y = 40x + 105$

So, the equation of the table (i.e. Discount Car rental) is: $y = 40x + 105$

While the equation of Pay Less is: $y = 55x + 60$

The company that charges less per day has the smaller slope and that is: Discount car rental because the slope (40) is less than the slope (55)

For the total cost to be the same, we simply equate both expressions:

i.e.

$y = y$

$55x + 60 = 40x + 105$

$55x - 40x = - 60 + 105$

$15x =45$

$x = 3$