Question

How would I do this?

Answer 1

You work at a public golf course. You have a budget of $300 for supplies for the month.


A. The golf course can buy golf balls at a price of $0.80 each. Write an inequality that states the number of golf balls you can buy at this price and still have $200 left in your budget for other items.

Answer 2

I know that I can buy 125 golf balls at .80 each and still have $200 left. How would I write this?

Answer 3

Have you learned about what inequalities are?

Answer 4

Would it be correct if I wrote it like: 0.80x = 100

Answer 5

Let \(n\) represent the number of golf balls:
I got 300 from:
"You have a budget of $300 for supplies for the month."
I got 200 from:
"Write an inequality that states the number of golf balls you can buy at this price and still have $200 left in your budget for other items."
\[300 - 200 = 100\]
\[0.80n \le 100\]

Answer 6

I suppose thats is right...it looks right. It is a little confusing.
.80n <= 100

Answer 7

or maybe .80n <= 300 - 200 ??

Answer 8

\[\ge~ =\text{ Greater than or equal too.}\]
\[\le~ = \text{Less than or equal too.}\]
\[>~ =\text{Greater than.}\]
\[<~ =\text{Less than.}\]

If we used greater than we would be "in the hole".
We need to have 200 left so we cannot use greater than, we can only use greater than or equal too.

Answer 9

*less than or equal to.

Answer 10

I got it

Answer 11

Check out this link to have a better idea:
Constructing and solving one-step inequality:
https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/v/inequalities

Answer 12

There is another part to this: After buying golf balls, you have $200 left over. Now you need to buy a few replacement golf clubs. You can get these for $22 each. Write an inequality and solve it to find the maximum number of golf clubs you can buy and still have $40 left over in your budget.

Would the inequality be 22x <= 40

Answer 13

Or would it be 22x <= 160

Answer 14

22x <= 160

Answer 15

Close...
After buying golf balls, you have $200 left over. Now you need to buy a few replacement golf clubs. You can get these for $22 each. Write an inequality and solve it to find the maximum number of golf clubs you can buy and still have $40 left over in your budget.

Let \(n\) represent the number of golf clubs:
\[200 - 40 = 160 \] (160 is the total we can spend.)
\[22n \le 160\]

Answer 16

We need to have 40 left over, so:
200 - 40 = 160
That is where the 160 comes from, do you understand?