Real World Scenarios for Linear Function

Does this image represent a real world scenario?

• TRUE

• FALSE

The following table shows what a local gym charges for nonmembers and members:

Find the cost for a member who uses the gym 12 times.

A dog groomer charges according to the following function f(x), which represents the total price and x represents the weight of the dog. If your dog weighs 40 pounds, how much will you pay?

• $20

• $30

• $45

• $0

A plumber charges a $25 service fee and $50 per hour for at least one hour but not more than 4 hours. If 𝑥 represents the number of hours the plumber is at your house, the total cost for the plumber’s service is represented by 𝑓(𝑥) = 50𝑥 + 25.

What is a possible domain for this situation?

• {1,2,3,4}

• {75,125,175,225}

• {𝑥 | 1 ≤ 𝑥 ≤ 4}

• {𝑦 | 25 < 𝑦 < 225}

Which situation can be represented by y=12x-4?
*Hint: Pay attention to your sign for your y-intercept*

• The number of eggs, y, in x dozen eggs for sale after 4 dozen eggs are sold

• The cost, y, of buying x movie tickets that sell for $4 each

• The cost, y, after a $4 discount, of buying x T-shirts that sell for $12 each

• The number of inches, y, in an x-foot-tall tree after cutting off 4 feet

A plumber charges a $25 service fee and $50 per hour for at least one hour but not more than 4 hours. If 𝑥 represents the number of hours the plumber is at your house, the total cost for the plumber’s service is represented by 𝑓(𝑥) = 50𝑥 + 25.

What is a possible range for this situation?

• {1,2,3,4}

• {75,125,175,225}

• {𝑥 | 1 ≤ 𝑥 ≤ 4}

• {𝑦 | 25 ≤ 𝑦 < 225}

The total cost, 𝑐, in dollars to create calendars for a fundraiser can be found using the function 𝑐 = 5.5𝑢 + 25 where u is the number of calendars made. If there are at least 10 calendars made, what is a possible domain for this function?

• {𝑥 | 0 ≤ 𝑥 < 50}

• {−12,−11,12,20,50}

• {𝑥 | 10 ≤ 𝑥 < 100}

• {10,11,12,13,14}

The total cost, 𝑐, in dollars to create calendars for a fundraiser can be found using the function 𝑐 = 5.5𝑢 + 25 where 𝑢 is the number of calendars made. If there are at least 10 calendars made, what is a possible range for this function?

• {25,30.5,36,41.5,47}

• {80,85.5,113,124,140.5}

• {𝑦 | 0 ≤ 𝑦 < 25}

• {𝑦 | 10 ≤ 𝑦 < 50}

The number of airplane trips, 𝑓(𝑝), needed to transport p people in one day can be found using the function f(p)=rac{p}{150} . If there are at most 750 people transported by airplanes daily, what is the domain of the function for this situation?

• The set of all integers from 0 to 5

• The set of all integers from 0 to 150

• The set of all integers less than or equal to 750

• The set of all integers from 0 to 750