Apply the concepts of linear functions to answer the question.
"All Items 10% Off Marked Price" is a sign at a local golf pro shop. Create a function and then use it to determine how much one has to pay for each of the following marked items: a $9.70 hat, a $17 umbrella, a $60 pair of golf shoes, a $12.50 golf glove, a $700 set of golf clubs.
After a 10% reduction, you would pay 90% of the price.
So.....
Cost = .9p, where p is the original price
e.g. for a $17 umbrella
cost = .9(17) = $15.30
do the others in the same way
To solve this problem, we can use the concept of a linear function.
A linear function represents a linear relationship between two variables. In this case, we can represent the relationship between the original price of an item and the discounted price after the 10% off.
Let's denote the original price of an item as "x" and the discounted price as "y". We can write the linear function as:
y = x - 0.10x
Simplifying the equation, we have:
y = 0.9x
Now, we can use this equation to calculate the discounted price for each of the given items.
For the $9.70 hat:
y = 0.9 * 9.70 = $8.73
For the $17 umbrella:
y = 0.9 * 17 = $15.30
For the $60 pair of golf shoes:
y = 0.9 * 60 = $54.00
For the $12.50 golf glove:
y = 0.9 * 12.50 = $11.25
For the $700 set of golf clubs:
y = 0.9 * 700 = $630.00
Therefore, the discounted prices for each item are as follows:
- The hat costs $8.73 after the discount.
- The umbrella costs $15.30 after the discount.
- The pair of golf shoes costs $54.00 after the discount.
- The golf glove costs $11.25 after the discount.
- The set of golf clubs costs $630.00 after the discount.