Nicole spends $14 each time she travels all the roads. She started the month with $224 in her toll road account. The amount, A (in dollars), that she has left in the account after t trips on the toll roads is given by the following function.

A(t)=224-14t

Answer the following questions:

How much money does Nicole have left in the account after 11 trips on the toll roads?

How many trips on the toll roads can she take until her account is empty?

11 trips on the toll road can be represented by replacing the variable t with 11:

A(11) = 224 - 14(11)

A(11) = 224 - 154

A(11) = 70 dollars.

You can solve for Nicole's account being empty by setting y equal to 0 (how much money she has left):

0 = 224 - 14t

14t = 224

t = 224/14

t = 16 trips on the toll road before Nicole runs out of money.

step-by-step explanation: where's the phrase?

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1