Question

PLEASE HELP ME IM CONFUSED!! WORTH A GOOD AMOUNT OF POINTS

Answer 1

m = the number of miles driven

C(m) = 0.10m + 41   (Speedy charges a flat rate of $41 plus an additional fee of $0.10 per mile(m) driven)

T(m) = 0.25m  (Tom's Car Rentals charges a fee of $0.25 per mile driven)

Since you know:

m = 200 miles         Substitute/plug it into the equations to see the total cost for each company

C(m) = 0.10m + 41         Plug in 200 for "m"

C(200) = 0.10(200) + 41

C(200) = 20 + 41

C(200) = 61               They charge $61 for 200 miles

T(m) = 0.25m       Plug in 200 for "m"

T(200) = 0.25(200)

T(200) = 50             They charge $50 for 200 miles

Tom's Car Rentals offers a better price for a one-day rental because for 200 miles, they charge $50 while Speedy's charges $61, which is $11 more expensive.

Answer 2

C(m) = 41 + 0.10m

T(m) = 0.25m

C(200) = 41 + 0.10(200)

            = 41 + 20

            = 61

T(200) = 0.25(200)

           = 50

$61 > $50

Therefore Tom's Car Rentals offers a  better deal

Hope this helps! ;)