Graded Assignment
Unit Test 1, Part 2: Linear Models
Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for full credit.
Please make certain to show your work as part of your grade is associated with showing the steps to complete a problem. You want to set things up so that someone else can see the process you used to arrive at your answer.
Total score: ____ of 15 points
(Score for Question 1: ___ of 6 points)
A poll asked 15 pet owners what kind of pet they have and whether they feed their pet kibble or meat. The results are recorded in the table.
Person
Pet
Food
1
Dog
Kibble
2
Cat
Kibble
3
Dog
Kibble
4
Cat
Meat
5
Dog
Meat
6
Dog
Kibble
7
Dog
Meat
8
Dog
Meat
9
Catr
Meat
10
Cat
Meat
11
Dog
Meat
12
Cat
Kibble
13
Dog
Meat
14
Cat
Kibble
15
Cat
Meat
Create a two-way table of the data. Of the pet owners surveyed, how many owned dogs? How many fed their pets meat?
Please include labels and totals.
Create a two-way relative frequency table that displays the relative frequency of the cat owners and dog owners who fed their pets kibble or meat. Express your answers as decimals written to three decimal places.
What is the percentage of dog owners who fed their pets meat?
Answer:
Part A, How many owned dogs?
6
Part A, How many fed their pets meat?
9
Part C
0.6000
Two way table, Part A
Kibble
Meat
Total
Cat
6
9
1
Dog
Total
Relative frequency table, Part B
Kibble
Meat
Total
Cat
Dog
Total
Note: these tables are asking for two different things. Please review 1.02, and come into Math Help Lab, if you’re unsure what the difference is or otherwise need assistance.
(Score for Question 2: ___ of 5 points)
Consider this scatter plot.
Test Scores in Relation to Homework
Hours of Homework
Is the relationship linear or not linear? Justify your response.
Is the relationship increasing or decreasing? Find the slope and use it to help justify your answer.
Paul uses the function y = 7x + 30 to model the situation. What score does Paul’s model predict for 3 hours of homework? Hint: It’s _not_ asking you to use the graph.
Describe what the number 30 in Part (c) mean in the context of the situation? Hint: Think about what kind of function equation you have in Part B.
Answer:
Part A)
Part B)
Part C)
Part D
(Score for Question 3: ___ of 4 points)
Anika is on the crew to set up rides for the state fair. The crew does most of the setup on the day that the fair arrives at the fairground and then continues to work on finishing the setup for about a week to have the rides ready to go in time for the opening of the fair. The scatter plot shows Anika's setup time on different days and the linear model for the data.
Annika’s Setup Time
Time (Days)
What is the equation of the line, written in slope-intercept form? Show how you determined the equation.
Anika arrived on Day 0. Based on the linear model you created in Part A, predict how long Anika worked on Day 0.
Approximately how much did her setup time decrease per day?
Answer:
[Answer boxes are on next page]
Part A, Find the slope & equation in Point Slope form)
Part A, convert to slope intercept form)
Part B)
Part C)
