Unit 4 Study Guide

Bob's Plumbing charges $15 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

• y = 15x + 40

• y = 40x + 15

• y = 15x

• y = 15x - 40

A holiday meal cost $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs(y), including delivery, for x people?

• y = 12.50 + 30x

• y = 30 + 12.50x

• y = 12.50 + 30

• 12.50x = 30

When 4 people attend the movie theater, it costs $23.96. When 7 people attend the movie theater, it costs $41.93. What information is given and which equation should you use?

• A slope and y - intercept are given, use y = mx + b.

• A slope and y - intercept are given, use y - y1 = m(x - x1).

• Two points are given; use slope & y - y1 = m(x - x1).

• Two different items that add to a total are given; use slope & Ax + By = C.

A caterer charges $100 to cater a party for 10 people and $175 for 25 people. Write an equation for the given situation.

• y = 25x + 100

• y = 5x + 50

• y = 10x + 75

• y = 5x + 35

A man is climbing down from 100 feet high descending 30 feet per minute.

• y = - 30x + 100

• y = 30x - 100

• y = 100x + 30

• y = 100x - 30

When an individual rides in a taxi for 20 miles, it costs them $21. Another individual rides in the same taxi for 30 miles and pays $26.50. What information is given and which equation should you use?

• A slope and y - intercept is given; use y = mx + b.

• A slope and y - intercept is given; use y - y1 = m(x - x1).

• Two points are given; use slope & y - y1 = m(x - x1).

• Two different items that add to a total are given; use slope & Ax + By = C.

The equation y = 120x + 250 represents the cost for renting an event hall where x represents the number of hours a customer rents the hall and y represents the total cost. If Alan paid $790.00, how many hours did he rent the hall?

• 4 hours

• 4.5 hours

• 5 hours

• 5.5 hours

The equation y = 2.50x + 225 represents the purchase of posters for a fundraiser where x represents the number of posters ordered and y represents the total cost. If Nick wanted to order 400 posters, what would be the total cost?

• $625.00

• $750.00

• $1000.00

• $1225.00

Which of the following situations could be descried by the equation y= -25x + 120

• There are 120 people in the football stadium, and 25 more are entering each hour.
• A plumber charges $25 for a house call and $120 per hour.
• A teacher has 120 students. Her third period has 25 students
• There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

What is the constant in the following word problem:

In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee.

• 4

• 30

• 34

• 26