Question 1

CA company rents out event spaces. The rental fee includes a fixed charge of ₱5,000 for setup and a variable cost of ₱300 per hour. Write a rational function to represent the cost per hour when renting the space for $x$ hours.

Accepted Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Question 2

You are delivering packages over a distance of 800 kilometers. Write a rational function to calculate how long the delivery will take if you travel at $x$ kilometers per hour.

Accepted Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Question 3

The cost of manufacturing a product includes a fixed overhead cost of ₱1,500 and a variable cost of ₱200 per unit. Write a rational function for the cost per unit when producing $x$ units.

Accepted Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Question 4

The concentration of a drug in the bloodstream is given by the function $x$ , where $t$ is the number of hours after the drug is administered. What happens to the concentration as time passes?

Accepted Answer

It decreases

Answer

It increases

Answer

It fluctuates

Answer

It remains constant

Question 5

A taxi company charges a flat rate of ₱50 plus ₱20 per kilometer traveled. Write a rational function to represent the cost per kilometer when traveling $x$ kilometers.

Accepted Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Question 6

A printing shop charges a fixed setup fee of ₱1,200 for any printing job, plus ₱2 per page printed. Which rational function represents the cost per page for printing 𝑥 pages?

Accepted Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Question 7

A gym charges a ₱1,500 registration fee and ₱400 per month for membership. What rational function represents the average monthly cost if a person is a member for 𝑥 months?

Accepted Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Question 8

A moving company charges ₱8,000 for the first 3 hours and ₱500 for every additional hour. If 𝑥 is the total number of hours, what rational function represents the average cost per hour of using the service?

Accepted Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Question 9

A phone company offers a plan that charges ₱1,500 for the first 100 minutes, and ₱2 per minute for any additional minutes. Which rational function represents the average cost per minute if a customer uses the phone for 𝑥 minutes?

Accepted Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Question 10

A software subscription service has a sign-up fee of ₱1,000 and charges ₱200 per month. What rational function represents the average cost per month if a customer subscribes for 𝑥 months?

Accepted Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

Answer

$f\left(x\right)=\frac{5000\ +\ 300x}{x}$

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