Chapter 3 Pre-Test

Name ______Date______Period ____

The Table show the population of a small town for each year from 2003 to 2010.

  1. Determine a linear regression equation for the data. Round the slope and y-intercept to the nearest whole number.
  1. Identify the correlation coefficient, or r -value, of the line. What does this value tell you?
  1. Predict the population for the year 2020. Show your work and explain your reasoning.

Holly has $150 to spend at the shopping mall. She decides to buy sweaters and pants with her money. Sweaters cost $35 each and pants cost $20 each.

  1. Write an equation to represent this problem situation. Use s to represent the number of sweaters and p to represent the number of pants.
  1. If Holly buys 3 sweaters, what is the greatest number of pants she can buy? Show your work and explain your reasoning.
  1. If Holly buys no pants, what is the greatest number of sweaters she can buy? Show your work and explain your reasoning?
  1. Solve the formula for . Show your work.
  1. What is the y-intercept for the equation
  1. What is the x-intercept of the equation
  1. Write the equations in standard form.
  1. Write the equation in slope-intercept form.

Harland owns a vegetable stand. He grows and sells his own vegetables at a stand in the city. Hecharges $0.75 for each tomato, and each month five lucky passers-by get a free tomato. Harlandalways sells more tomatoes than he gives away.

  1. Write a linear function to represent the amount Harland earns each month. Let x represent the number of tomatoes distributed.
  1. How much would Harland earn in a month if he distributed 80 tomatoes to customers? Show your work.
  1. The next month, Harland decides to also sell cucumbers for $0.60 each. Each month three lucky passers-by get a free cucumber. He always sells more cucumbers than he gives away. Write a linear function to represent the amount of money Harland earns each month from cucumber sales. Let x represent the number of cucumbers distributed.
  2. Harland writes a function for the total amount of money he will earn for selling both items. Hiswork is shown below. Is Harland correct? Explain why or why not.

A cereal manufacturer has two production lines. Line A produces a variety of cereal that is sold for $3 per box. Line A typically produces 4 boxes per day that do not meet company standards and cannot be sold. Line B produces a variety of cereal that is sold for $2 per box. Line B typically produces 6 boxes per day that do not meet company standards and cannot be sold. Line A and Line B produce the same total number of boxes each day.

The linear functions represent the total amount each line can produce taking into account the boxes that do not meet company standards and cannot be sold.

  1. Write a linear function that represents the total number of boxes the lines can produce combined.

A toy manufacturer is designing a new rectangular-shaped toy. The company would like the toy to have a specific area.

  1. Write the equation for the area of the rectangle.
  1. Solve your formula for height.
  1. The company specified that the area of the toy must be 60 in2 and the length of the base must be 12 in. Use your formula to determine the height of the new toy.