You can earn money by babysitting for $8.00 per hour and by raking leaves for $7.00 per hour. You have 9 hours available to work. What is the greatest number of hours you can spend raking and still make at least $68.00? (Hint: Create a table to help solve this problem.) (1 point)
O 3 hours O 4 hours O 5 hours O 6 hours
To solve this problem, let's create a table to see how much money you can earn for each possible number of hours spent raking:
| Raking Hours | Babysitting Hours | Raking Earnings | Babysitting Earnings | Total Earnings |
|--------------|-------------------|----------------|---------------------|----------------|
| 0 | 9 | $0 | $72 | $72 |
| 1 | 8 | $7 | $64 | $71 |
| 2 | 7 | $14 | $56 | $70 |
| 3 | 6 | $21 | $48 | $69 |
| 4 | 5 | $28 | $40 | $68 |
| 5 | 4 | $35 | $32 | $67 |
| 6 | 3 | $42 | $24 | $66 |
| 7 | 2 | $49 | $16 | $65 |
| 8 | 1 | $56 | $8 | $64 |
| 9 | 0 | $63 | $0 | $63 |
From the table, we can see that if you spend 4 hours raking, you can still make at least $68.00. Therefore, the answer is 4 hours (option O).
To solve this problem, let's create a table to find the number of hours you can spend raking and still make at least $68.00.
Start by assuming the number of hours spent raking is "x".
| Babysitting Hours | Raking Hours | Total Earnings |
|-------------------|--------------|----------------|
| 9-x | x | $68.00 or more |
Based on the given information, the rate for babysitting is $8.00 per hour and for raking is $7.00 per hour.
Now, let's calculate the total earnings for each scenario:
If you work (9-x) hours in babysitting, you will earn (9-x) * $8.00 = $72.00 -8x
If you work x hours in raking, you will earn x * $7.00 = $7x
To find the total earnings, we add the earnings from babysitting and raking. Thus, the equation becomes:
$72.00 -8x + $7x ≥ $68.00
Combine like terms:
$72.00 - $68.00 ≥ $8x - $7x
$4.00 ≥ $1x
Divide both sides of the equation by 1:
$4.00/1 ≥ $1x/1
4 ≥ x
Therefore, the greatest number of hours you can spend raking and still make at least $68.00 is 4 hours.
Therefore, the correct option is:
O 4 hours
To solve this problem, let's create a table to track the number of hours spent raking, the number of hours spent babysitting, and the total amount earned:
Number of hours raking (x) | Number of hours babysitting (9 - x) | Amount earned from raking | Amount earned from babysitting | Total amount earned
--------------------------------------------------------------------------------------------------------------------
0 | 9 | $0 | $72 | $72
1 | 8 | $7 | $64 | $71
2 | 7 | $14 | $56 | $70
3 | 6 | $21 | $48 | $69
4 | 5 | $28 | $40 | $68
As we can see from the table, the greatest number of hours you can spend raking and still make at least $68.00 is 4 hours. Therefore, the answer is 4 hours.