Sign up for FREE

Homework 12.3 Modeling Linear Systems

Last updated almost 4 years ago

6 questions

2

Question 1

1.

2

2

2

2

2

Below shows a bowling ally that was running two specials. h(t) represents a happy hour special. g(t) is general admissions special. After how many hours of bowling will the two specials be the same? How much would it cost per bowler? 

Question 2

2.

Casey wants to buy a gym membership. One gym has a $150 joining fee and costs $35 per month. Another gym has no joining fee and costs $60 per month. When would Casey pay the same amount to be a member of either gym? How much would he pay?

Question 3

3.

The campground has this sign posted that promotes two rental companies that rent Canoe's by the hour.
If both companies hourly rate continue, how many hours would it be for the companies to be the same? How much would that amount of time cost?

Question 4

4.

A start up foodtruck is needing to make a decision on what supplier they are going to go with for paper towels. What company should the foodtruck pick in order to spend the least amount of money? At what point would the companies cost the same?

Question 5

5.

Use Desmos. Oaks Park is a popular field trip destination for Middle School end of the year parties. This year the 8th grade class at 2 different middles schools planned to attend. HVMS filled 8 vans and 13 buses with 516 people. RCMS filled 5 vans and 15 buses with 570 students. How many students fit in a bus and how many students fit in a van assuming each is full?

Question 6

6.

Use Desmos. At Barber Hair Clippers, the cost of a child’s haircut is $12 and the cost of an adult haircut is $28. The sales from the 32 haircuts given on Friday were $704. How many adults and children had haircuts on Friday? The answer is the solution to the following system.