To answer this question, we need to determine how many hours Trevor needs to tutor in order to make more than $180 for working 15 hours in total. Let's go through the options provided:
(A). x + y = 15
(B). x + y > 15
(C). x + y < 15
(D). 15x + 10y = 180
(E). 15x + 10y > 180
(F). 15x + 10y < 180
First, let's look at the equation (A). This equation states that the total number of hours Trevor works is 15, but it does not help us determine how many hours he needs to tutor to make more than $180.
Next, let's consider the inequality (B). This inequality states that the sum of the number of hours Trevor tutors and the number of hours he scoops ice cream is greater than 15. However, this inequality also does not provide information about Trevor's earnings.
Moving on to inequality (C), it states that the sum of the number of hours Trevor tutors and the number of hours he scoops ice cream is less than 15. Again, this inequality does not help us determine Trevor's earnings.
Now let's examine equation (D). This equation states that the total earnings for Trevor's tutoring hours and ice cream scooping hours equal $180. However, we are interested in finding out how many hours Trevor needs to tutor to make more than $180, so this equation does not give us the answer.
Finally, let's look at the inequalities (E) and (F). Inequality (E) states that the sum of Trevor's earnings from tutoring and ice cream scooping is greater than $180, which is exactly what we are looking for. In contrast, inequality (F) states that the sum of Trevor's earnings is less than $180, which is not what we want.
Therefore, the correct answers are:
- (E). 15x + 10y > 180
In conclusion, Trevor needs to tutor for more than a certain number of hours (let's call it x) to make more than $180. The equation and inequality needed to answer this question are:
- Equation: None of the options provide the correct equation.
- Inequality: 15x + 10y > 180. HOPE IT HELPS!!