Respuesta :
Given:
h represents the minimum number of hours that Sara could have worked.
Sara earned $7.25 per hour plus an additional $105 in tips waiting tables last week
She earned at least $329.75.
Solution:
We need to write an expression to represent what Sara earned in a week.
[tex]Sara \; Earning \\= Number \; of \; hours \; she \; worked \times Earnings \; per \; hour + Tips[/tex]
[tex]Sara \; Earning = h \times 7.25 + 105=7.25h+105[/tex]
Then we need to set up an inequality given that "She earned at least $329.75"
[tex]7.25h+105\geq 329.75[/tex]
Solving the inequality by undoing whatever is done to h by performing the reverse operation as given below:
[tex]7.25h+105\geq 329.75\\Step \; 1: Subtract \; 105 \; on \; both \; sides\\\\7.25h+105-105\geq 329.75-105\\Step \; 2: Combine \; like \; terms \; on \; both \; sides\\\\7.25h\geq 224.75\\Step \; 3: Divide \; 7.25 \; on \; both \; sides\\\\\frac{7.25h}{7.25}\geq \frac{224.75}{7.25}\\Step \; 4: Simplify \; fractions \; both \; sides\\\\h\geq 31[/tex]
Conclusion:
The inequality represents all the possible values of h is given below:
[tex]7.25h+105\geq 329.75[/tex]
Answer:7.25h + 105 ≥ 329.75
Step-by-step explanation:7.25h represents $7.25 multiplied by the number of h hours, and 105 represents a fixed amount of $105 in tips.
Setting the expression 7.25h + 105 greater than 329.75 allows you find all the possible values of h hours.
7.25h + 105 ≥ 329.75
7.25h ≥ 224.75
h ≥ 31
