Question

use the following scenario to solve the next three problems.your computer broke and needs to be fixed. you have found two competing companies that have given you quotes. both companies have quoted you 5 hours worth of labor to fix your computer.$f(x) = 35x + 75$ represents the cost from fixitfast! (where x is the number of hours)this table below represents doctor computers pricing:| hours $x$ | cost $g(x)$ || ---- | ---- || 1 | $90 || 2 | $130 || 3 | $170 |5. fill in the blank 1 pointhow much would it cost fixitfast! to fix your computer in 5 hours?note: do not include $ signs in your answer.write your answer as a whole number.$ type your answer...6. fill in the blank 1 pointhow much would it cost doctor computer to fix your computer in 5 hours?note: do not include $ signs in your answer.write your answer as a whole number.$ type your answer...7. multiple choice 1 pointwhich company would be the least expensive to fix your computer?$circ$ fixitfast! would be cheaper for 5 hours of labor$circ$ either. they both charge the same amount for 5 hours of labor.$circ$ doctor computer would be cheaper for 5 hours of labor

Explanation:

Step1: Calculate FixItFast cost

Substitute $x=5$ into $f(x)=35x+75$

$$\begin{align*} f(5)&=35(5)+75\\ &=175+75\\ &=250 \end{align*}$$

Step2: Find Doctor Computer's rate

Calculate hourly rate from table:
Rate = $130-90=40$ dollars/hour.
Find base cost: $90-40(1)=50$.
Equation: $g(x)=40x+50$

Step3: Calculate Doctor Computer cost

Substitute $x=5$ into $g(x)=40x+50$

$$\begin{align*} g(5)&=40(5)+50\\ &=200+50\\ &=250 \end{align*}$$

Step4: Compare the two costs

Compare $f(5)=250$ and $g(5)=250$

Answer:

1. 250
2. 250
3. C. Either. They both charge the same amount for 5 hours of labor.