Question

1. the function $y = 48 + 50x$ models the total cost of a plumbing repair. y represents the total cost and x represents the number of hours needed to complete the repair.

Explanation:

Since the problem statement is incomplete (it just defines the function but doesn't ask a specific question like finding the cost for a certain number of hours, interpreting the slope/intercept, etc.), we can't provide a solution yet.

If you want to find the total cost for a specific number of hours (say, for \( x = 3 \) hours), here's how we could solve it:

Step1: Identify the value of \( x \)

Let's assume we want to find the cost for \( x = 3 \) hours. So we substitute \( x = 3 \) into the function \( y = 48 + 50x \).

Step2: Substitute and calculate

Substitute \( x = 3 \) into \( y = 48 + 50x \):
\( y = 48 + 50\times3 \)
First, calculate \( 50\times3 = 150 \)
Then, \( y = 48 + 150 = 198 \)

If your question is different (like interpreting the slope or y-intercept), here's how:

• The y-intercept (when \( x = 0 \)): \( y = 48 + 50\times0 = 48 \). This represents the fixed cost (maybe a service call fee) of the plumbing repair, as it's the cost when 0 hours of work are done.
• The slope (the coefficient of \( x \)) is 50. This represents the cost per hour of the plumbing repair, as for each additional hour (\( x \) increases by 1), the total cost (\( y \)) increases by 50.

Please clarify your specific question (e.g., find the cost for a certain number of hours, interpret the parts of the function, etc.) so that we can provide a more targeted solution.

Answer:

Step1: Identify the value of \( x \)

Let's assume we want to find the cost for \( x = 3 \) hours. So we substitute \( x = 3 \) into the function \( y = 48 + 50x \).

Step2: Substitute and calculate

Substitute \( x = 3 \) into \( y = 48 + 50x \):
\( y = 48 + 50\times3 \)
First, calculate \( 50\times3 = 150 \)
Then, \( y = 48 + 150 = 198 \)

If your question is different (like interpreting the slope or y-intercept), here's how:

• The y-intercept (when \( x = 0 \)): \( y = 48 + 50\times0 = 48 \). This represents the fixed cost (maybe a service call fee) of the plumbing repair, as it's the cost when 0 hours of work are done.
• The slope (the coefficient of \( x \)) is 50. This represents the cost per hour of the plumbing repair, as for each additional hour (\( x \) increases by 1), the total cost (\( y \)) increases by 50.

Please clarify your specific question (e.g., find the cost for a certain number of hours, interpret the parts of the function, etc.) so that we can provide a more targeted solution.