SOLUTION: It costs $480.00 to rent an apartment on the Gold Coast for a weekend Last year it cost $400.00. What method below shows how you would calculate the % increase? A. (480-400)÷4

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: It costs $480.00 to rent an apartment on the Gold Coast for a weekend Last year it cost $400.00. What method below shows how you would calculate the % increase? A. (480-400)÷4      Log On

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Question 1033103: It costs $480.00 to rent an apartment on the Gold Coast for a weekend
Last year it cost $400.00.
What method below shows how you would calculate the % increase?
A. (480-400)÷480×100%
B. (400-480)÷480×100%
C. (480-400)÷400×100%
D. (400-480)÷480×100%
Because more people are visiting the Gold Coast,the rental price for next year is predicted to increase by 10%. How much will Shirley have to pay next year to rent an apartment for a weekend?

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the percent increase is the (new price minus the old price) divided by the old price.

(480 - 400) / 400 = 80 / 400 = .2 * 100 = 20%.

since it's 480 this year, then 480 + .10 * 480 = 480 + 48 = 528.

it's the same deal (new price minus old price) divided by old price.

the old price is now 480.

the new price is 528.

the percent increase is (528 - 480) / 480 = .1 * 100 = 10%.

you can also use the same formula to determine the percent increase.

(x - 480) / 480 = .10

simplify to get x/480 - 480/480 = .10

simplify further to get x/480 - 1 = .10

add 1 to both sides of the equation to get x/480 = 1.10

multiply both sides by 480 to get x = 1.10 * 480 = 528.

the solutions to your problem are:

selection C.

shirley will have to pay 528 next year to rent an apartment for a weekend.