Modeling with Rates and Constants

A constant rate of change is represented by a

• linear line.

• line that goes up.

• line that goes down.

• horizontal line.

Linear functions grow by a constant _____

• rate

• percent rate

Emerson has $120. Each week, he saves an additional $15. Write a function, f(x) to model the total amount of money Emerson has after x weeks. f(x) = _________________

Mathematical Equivalence

ON

Which if the following shows a quantity changing at a constant rate?

• Lauren paying 5% interest each month when repaying a loan

• Navya doubling the amount of books she reads every month

• Lucas reading 70 pages per hour

• Annika getting a 2% raise every year

A study was conducted to monitor the temperatures of two Florida cities on a random day in September from noon until 8pm. The first city, Orlando, had a temperature (in degrees fahrenheit) as a function of the time (in hours) represented by the following function. T(h)=105-5.5h The second city, Jacksonville, had a temperature (in degrees fahrenheit) as a function of time (in hours) is shown as a graph below. Which city cooled down at a faster rate?

• Orlando

• Jacksonville

• The cities cooled down at the same rate.

Mathematical Equivalence

ON

Water is being drained from a 12ft deep swimming pool that is built in the shape of a rectangular prism. The depth of the water decreases linearly. The depth of the water at 5pm was 10ft. The depth of the water at 5:15pm was 9.5ft. How deep will the pool be at 6:30pm?

• 7ft

• 7.5ft

• 6ft

• 5.5ft

A rate in which the second quantity is ONE unit is the ___________________.
ex: 50 miles per hour

• Rate of change 

• Proportion

• Unit rate

A rate that describes how a quantity changes in relation to another quantity is _________________ .

• the rate of change

• a proportion

• a unit rate

A statement that two rates or ratios are equivalent is a ______________.

• Rate of change

• Proportion

• Unit Rate