Question

40 points! :)

David purchased an airline ticket. Included in the total price were $300 for the ticket, 7.5% tax on the price of the ticket, and fees of $27.



Which statements are true?



Choose exactly two answers that are correct.









A.

The equation that represents the total price, t, is t + 0.075t + 27 = 300.








B.

The equation that represents the total price, t, is 300 + 0.075(300) + 27 = t.








C.

The total cost of the airline ticket is $349.50.








D.

The total cost of the airline ticket is $253.95.

Answer 1

total price=cost of ticked+(7.5% of 300)+27
cost of ticket=300
total price=300+(7.5% times 300)+27
percent means part out of 100 so 7.5%=7.5/100=0.075
0.075 times 300=0.075(300)
t=total cost
t=300+0.075(300)+27
so the first of 2 answers is B


then total cost


t=300+0.075(300)+27
first, multiplication
0.075 times 300=22.5
t=300+22.5+27
add like terms
t=349.5
the answer is C

the answers are B and C
you can kind of use logic to solve for the second oanswer since there are 2 types of answer and between C and D, + tax doesn't mean less so since D is more, you can eliminate D and say that C is the second answer)




THE answers are B and C

Answer 2

There are three different parts to the total price:
a ticket price of 300 dollars,
a 7.5% tax on that 300 dollars, and
an additional 27 dollar fee.

We would represent the tax as 0.075(300), because to find a percent of something, we multiply that something by the percent as a decimal.
The price of the entire ticket can be represented as 300 + 0.075(300) + 27
Therefore B is true.
(A is not correct because the same variable is used for the ticket price and the total price. We don't even need a variable for the ticket price because we know that it is $300.)

Let's simplify the expression 300 + 0.075(300) + 27 to find our total price.
300 + 0.075(300) + 27
= 300 + 22.5 + 27
= 349.5

Now we know that the total price must be $349.50, and that C is true but D is not.