9. The Science Club needs to rent a bus for a field trip. Main Street Buses charges a $40 rental fee, plus $2 per mile. County Bus Line charges a $20 rental fee, plus $3 per mile. For what number of miles will the total charge be the same? What will that charge be?

20 miles $80

Step-by-step explanation:

20 miles

P%5Bc%5D%2820%29=20%2B3%2820%29=20%2B60=80

$80

M=Main buses

C=Country buses

Step-by-step explanation:

so the charges from Main are $40 fee, then additional $2 for every mile you drive it for, so M = 40 + 2m

if your mileage is 20miles, when 2*20 is the charge

if your mileage is 50miles, when 2*50 is the charge

if your mileage is 1000miles, when 2*1000 is the charge

if your mileage is "m" miles, when 2*m is the charge

and County charges are $20 fee, then additional $3 for every mile... .so then C = 20 + 3m

if your mileage is 20miles, when 3*20 is the charge

if your mileage is 50miles, when 3*50 is the charge

if your mileage is 1000miles, when 3*1000 is the charge

if your mileage is "m" miles, when 3*m is the charge

so, their total charge is M and C respectively

when are the charges equal? well, when M = C

or

40 + 2m = 20 + 3m

solve for "m", to see at how many miles that happens

what will the charge be? plug that value for "m" on either, to get the charge

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: