Unit 1 Linear Functions Review Problems Finite 1-R

Test Information This is an 80 point test. The two questions pertaining to regression are 20 point questions You will need a calculator, or a Chromebook to complete the test Test Information

Sketch the graph of the line given the equation Review Problem 1

Sketch the graph of the line given the equation Review Problem 2

Sketch the graph of the line given the equation Review Problem 3

Sketch the graph of the line given the equation Review Problem 4

Write an equation for the graph shown Review Problem 5

Write an equation for the graph shown Review Problem 6

Write an equation for the graph shown Review Problem 7

Write an equation for the graph shown Review Problem 8

Find the slope of a line through the two points given   Review Problem 9

Find the slope of a line through the two points given   Review Problem 10

Find the slope of a line through the two points given   Review Problem 11

Write an equation of the line described Review Problem 12

Write an equation of the line described Review Problem 13

Write an equation of the line described Review Problem 14

15 Review Problem C = 0.15x + 0.40 2 miles $1.60 A ride in Uber costs $0.40 plus $0.15 per mile. Write and graph an equation for traveling x miles with Uber Uber charges $0.70 for a ride of how many miles? How much does the Uber charge for a trip of 8 miles? C = 0.15x + 0.40 2 miles $1.60 Review Problem 15

It has been observed that a particular plant's growth is directly proportional to time. It measured 2 cm when it arrived at the nursery and 2.5 cm exactly one week later. If the plant continues to grow at this rate, determine the function that represents the plant's growth and graph it. y= 0.5 x + 2 Review Problem 16

A car rental charge is $100 per day plus $0. 30 per mile travelled A car rental charge is $100 per day plus $0.30 per mile travelled. Determine the equation of the line that represents the daily cost by the number of miles travelled and graph it. If a total of 300 miles was travelled in one day, how much is the rental company going to receive as a payment? y = 0.3 x +100 y = 0.3 · 300 + 100 = $190 Review Problem 17

The pollution level in the center of a city at 6 am is 30 parts per million and it grows in linear fashion by 25 parts per million every hour. If y is pollution and t is time elapsed after 6 am, determine: The equation that relates y with t. y = 30 + 25t The pollution level at 4 o'clock in the afternoon. f(10) = 30 + 25 · 10 = 280 Review Problem 18

The population of Bay Village is 35,000 today The population of Bay Village is 35,000 today. Every year the population of Bay Village increases by 750 people. Write a linear model that represents the population of Bay Village x years from today. In approximately many years will the population of Bay Village exceed 50,000 people? y = 35,000 + 750x 20 years Review Problem 19

A salesperson receives a base salary of $35,000 and a commission of 10% of the total sales for the year. Write a linear model that shows the salesperson’s total income based on total sales of k dollars. If the salesperson sells $250,000 worth of merchandise, what is her total income for the year, including her base salary? y = 35,000 + 0.1k $60,000 Review Problem 20

The following data refers to the ten teams in the Atlantic and Central Divisions of the National Basketball Association. Find the least-squares regression line for the data. Write the equation of the line and also sketch it on your scatterplot. One of the teams in the Southeastern Division has an overall winning percentage of 0.604. Predict this team’s home winning percentage. home = 0.99854*Overall + 0.1054 home = 0.7085 Review Problem 21

The table to the right displays airfare ticket prices for distances flown in miles Find the least-squares regression line for the data. Write the equation of the line and also sketch it on your scatterplot. For a flight of 450 miles, what is your anticipated fare? $213 Review Problem 22

The table to the right displays experimental data of golf club head speed in miles per hour and distance in yards for golf balls Find the least-squares regression line for the data. Write the equation of the line and also sketch it on your scatterplot. If you wanted to hit a distance of 220 yards, what head speed should you expect to have? 87 mph Review Problem 23

The table to the right displays the total length and weight of a group of black bears captured at smokey mountain national park Find the least-squares regression line for the data. Write the equation of the line and also sketch it on your scatterplot. If you see a bear that you believe to be 140 inches long, how heavy should you expect the bear? 95 pounds Review Problem 24

ANSWERS

Review Problem 2 miles $1.60 y = 35,000 + 750x 20 years C = 0.15x + 0.40 2 miles y = 30 + 25t $1.60 f(10) = 30 + 25 · 10 = 280 y = 35,000 + 750x 20 years y = 35,000 + 0.1k y= 0.5 x + 2 $60,000 home = 0.99854*Overall + 0.1054 home = 0.7085 Review Problem

$213 87 mph 95 pounds Review Problem