The cost of admission to the State Fair changed from $8.50 last year to $10.00 this year. Round to the nearest tenth. Show your work

a.) What is the percent of change from last year to this year?

b.) Is this a percent of increase or decrease?

c.) If you have a 25% off coupon to use on the $10.00 ticket, what is the cost of your ticket?

a) The percent of change from last year to this year can be calculated using the formula:

Percent Change = ((New Value - Old Value) / Old Value) * 100

In this case, the old value is $8.50 and the new value is $10.00.

Percent Change = (($10.00 - $8.50) / $8.50) * 100
Percent Change = ($1.50 / $8.50) * 100
Percent Change = 0.1765 * 100
Percent Change = 17.65%

b) To determine whether this is a percent of increase or decrease, we can look at the sign of the percent change.

Since the percent change is positive (17.65%), it means there was an increase in the cost of admission from last year to this year.

c) To calculate the cost of the ticket with a 25% off coupon, we first need to calculate the discount amount:

Discount Amount = (25/100) * $10.00
Discount Amount = $2.50

To find the final cost of the ticket, we subtract the discount amount from the original price:

Final Cost = $10.00 - $2.50
Final Cost = $7.50

Therefore, with a 25% off coupon, the cost of the ticket will be $7.50.

% change is actual change divided by starting value.

+ is increase, - is decrease (though it must surely be obvious)
25% off means you pay 75%

a. (10.00/8.50) * 100% = 117.6%.

% Change = 117.6% - 100% =

b. The positive value means increase.

c. Pay 100% - 25% = 75%.
Cost =( 75%/100%) * 10.00 =