Applying Intercepts and Slope (Math Masters)

A fitness center charges a one-time registration fee of $50 and a monthly membership fee of $25. Write the equation that models the total cost (C) as a function of the number of months (m) a member stays.

• C=50+25m

• C=50m+25

• C=25m/50

• C=50/25m

Tags

CCSS.HSF-BF.A.1A

Jordan is washing cars as a summer job. For every car wash, he charges a base fee plus a constant fee for each additional service he provides. For instance, his fee for a car wash with two additional services is $50, while his fee for just a basic car wash (no additional services) is $30. What does the y-intercept of the graph represent in this context?

• The total fee for a car wash with two additional services.

• The additional cost for each extra service provided.

• The base fee for a basic car wash with no additional services.

• The total cost of washing cars for a whole day.

Tags

CCSS.8.EE.B.5

A young athlete decided to follow a strength training program to build muscle quickly. When he started his program, he weighed 70 kilograms. He gained weight at a rate of 3 kilograms per month. Let y represent the athlete's weight (in kilograms) after x months.

Which of the following could be the graph of the relationship?

• A line that starts at (0, 70) and slopes upward with a steep incline.

• A horizontal line that starts at (0, 70) and remains constant.

• A line that starts at (0, 70) and slopes upward with a gradual incline.

• A line that starts below (0, 70) and slopes downward.

Tags

CCSS.8.EE.B.5

A student starts a savings account with an initial deposit of $200. She saves an additional $50 each month. Let y represent the total savings (in dollars) after x months. What is the slope of the graph representing her savings, and what does it represent in this context?

• 50; it represents the initial deposit.

• 200; it represents the amount saved each month.

• 50; it represents the amount saved each month.

• 200; it represents the total savings after one month.

Tags

CCSS.HSF.LE.B.5

A bakery sells a special cake for $20 and offers a discount of $2 for each additional cake purchased. Write the equation that models the total cost (C) as a function of the number of cakes (n) bought.

• C=20n-2n

• C=20+2n

• C=20n-2

• C=20-2n

Tags

CCSS.HSF-BF.A.1A

Emily is tutoring students in math. She charges a flat fee for the first hour and a reduced rate for each additional hour. If she charges $40 for the first hour and $25 for each additional hour, what does the slope of the graph represent in this context?

• The total fee for two hours of tutoring.

• The reduced rate for each additional hour.

• The flat fee for the first hour.

• The total cost for a full day of tutoring.

A gardener plants a tree that is initially 150 cm tall. The tree grows at a rate of 5 cm per month. Let y represent the height of the tree (in cm) after x months. Which of the following could be the graph of the relationship?

• A line that starts at (0, 150) and slopes upward with a steep incline.

• A horizontal line that starts at (0, 150) and remains constant.

• A line that starts at (0, 150) and slopes upward with a gradual incline.

• A line that starts below (0, 150) and slopes downward.

Tags

CCSS.8.EE.B.5

A car rental company charges a flat fee of $50 plus $0.15 per mile driven. If a customer has a budget of $100 for the rental, what is the maximum number of miles they can drive without exceeding their budget?

• 300 Miles

• 250 Miles

• 200 Miles

• 400 Miles

Tags

CCSS.7.EE.B.4B

A gym membership costs $25 for the initial sign-up and $15 per month. After how many months will the total cost of the membership exceed $200?

• 10 Months

• 11 Months

• 12 Months

• 13 Months

A bookstore offers a membership that costs $30 annually and provides a discount of $5 on each book purchased. Write the equation that models the total cost (C) of buying n books in a year as a member.

• C=30+5n

• C=30n-5n

• C=30-5n

• C=30+5

Tags

CCSS.HSF-BF.A.1A