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

Need help with the last part I know I need to do 55x+60 = ? But I don’t know what-example-1
User Tamis
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1 Answer

3 votes

Answer:

- Discount car rentals charges less daily

- After 3 days

Explanation:

Required

Which charges less per day

When is the total cost the same

First, calculate the slope (m)


m = (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 = (345 - 185)/(6 - 2)


m = (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

User Zhou Chang
by
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