Tom rented a truck for one day. there was a base fee of $18.99, and there was an additional charge of 75 cents for each mile driven. tom had to pay $160.74 when he returned the truck. for how many miles did he drive the truck?

Tom drove the truck for a distance of 89 miles.

Step-by-step explanation:

Base fee of truck = $18.99

Additional charge per mile = $0.75 per mile

Amount paid by Tom for the rented truck = $160.74

Let us assume Tom drove the truck for a distance of miles.

So, for  miles they would charge in dollars as:

⇒

⇒

⇒

We know the actual amount charge, so we can equate.

Subtracting both sides by 18.99 to cancel 18.99 on left side.

dividing both sides by 0.75 to isolate

∴ Tom drove the truck for a distance of 89 miles.

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb