Shea earns $8 per hour for the first 40 hours she works in a week. For any additional hours after that, she earns $13 per hour that week. Which solution best represents the number of hours beyond the first 40 hours, h, Shea worked this week if she earned more than $380?

Question

Shea earns $8 per hour for the first 40 hours she works in a week. For any additional hours after that, she earns $13 per hour that week. Which solution best represents the number of hours beyond the first 40 hours, h, Shea worked this week if she earned more than $380?

A. Number line showing x<5
B. Number line showing x>5
C. Number line showing x≤5
D. Number line showing 5≥x

Just some helpful tips please

Answer 1

8*40 + 13x > 380

13x > 60
x > 4.6
B looks good to me

Answer 2

Oh on D I meant x≥5

And my answer is D

Answer 3

Thanks oobleck I owe you one 😊

Answer 4

Shea earns $8 per hour for the first 40 hours she works in a week. For any additional hours after that, she earns $12 per hour for that week. Which solution best represents the number of hours, h, Shea worked this week if she earned more than $380?

Answer 5

To find the solution that best represents the number of hours beyond the first 40 hours, h, Shea worked this week if she earned more than $380, you can set up an equation and solve it.

Let's use the equation:
Earnings = (40 * $8) + (h * $13)

We know that she earned more than $380, so the equation would look like this:
(40 * $8) + (h * $13) > $380

To solve this inequality, we can simplify it first:
$320 + (h * $13) > $380

Next, let's isolate the variable, h:
h * $13 > $380 - $320

Simplifying further:
h * $13 > $60

Now, to solve for h, divide both sides of the inequality by $13:
h > $60 / $13

Calculating the division:
h > 4.615

So, Shea worked more than 4.615 additional hours (h) beyond the first 40 hours this week if she earned more than $380.

Now, let's analyze the answer choices to determine which one represents this solution.

A. Number line showing x<5: This represents values less than 5, which would not include the solution h > 4.615. Therefore, it is NOT the correct solution.

B. Number line showing x>5: This represents values greater than 5, which includes the solution h > 4.615. It meets the condition for the solution. So, B could be the correct solution.

C. Number line showing x≤5: This represents values less than or equal to 5, which would not include the solution h > 4.615. Therefore, it is NOT the correct solution.

D. Number line showing 5≥x: This represents values greater than or equal to 5, which includes the solution h > 4.615. It meets the condition for the solution. So, D could be the correct solution as well.

Based on this analysis, both B and D could represent the solution h > 4.615.