A small town has two local high schools. High School A currently has 600 students and is projected to grow by 65 students each year. High School B currently has 950 students and is projected to grow by 30 students each year. Let A represent the number of students in High School A in t years, and let B represent the number of students in High School B after t years. Write an equation for each situation, in terms of t, and determine after how many years, t, the number of students in both high schools would be the same. A = B = Answer:

A bucket is used to fill a large cylindrical vat with water. After pouring buckets of water into the vat, the height of water in the vat was 3 feet. After pouring 16 buckets of water, the height was 6 feet. Let y represent the height of water in the vat (in feet) and x represent the number of buckets poured into the vat. Write a linear equation to estimate the height of the water based on the number of buckets poured in. Express numbers as decimals or integers. The linear equation in slope-intercept form is ____

Gordon borrowed $420 from Lyn and agreed to pay her back $24 every month. Write a formula (linear model) showing the amount of money Gordon still owes at any time. Clearly define your variables.

Assume the gasoline version of a Honda Civic costs $21,000 and gets 35 MPG while the hybrid version costs $26,500 and gets 47 MPG. Assume you drive 11,000 miles per year and gasoline costs $2.90 per gallon. Let G be the purchase cost plus the gasoline cost for x years of the gasoline versions and H be the purchase cost plus the gasoline cost for x years for the hybrid version of the Civic. a. Give G and H as equations in terms of x. b. Give the graphs of the equations from (a) on the rectangular coordinate axes system using a horizontal axis scaled in years from 0 to 50 and a vertical axis scaled in dollars from $20,000 to $50,000. c. How many years will be required to break even on the extra cost of the hybrid? What part of the graph exhibits this answer?

In the summer, a certain lake’s water temperature is known to increase linearly with time. On June 1, the water temperature is measured at 40°F, and on July 1, it is 55°F. Which of the following represents the water temperature of the lake on July 31? a. 70°Fb. 65°Fc. 60°Fd. 75°Fe. 68°Ff. 72°F

Suppose that the number of tee shirts sold (N) depends linearly on the price charged (x). Write an equation showing this dependence.

A certain machine is depreciated linearly over time. Initially the machine was purchased in 2012 for $250000 and will have a scrap value of $18000 in 8 years. Write an equation that gives the book value of this machine x years after it purchased. What is the book value in 2016?