Graphing Linear and Exponential Functions: 8th Grade Quiz

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write a linear equation to represent the total cost (C) based on the number of miles (m) driven. Graph this equation.

• C = 50 + 0.20m

• C = 0.20m - 50

• C = 50 - 0.20m

• C = 50 + 0.50m

Tags

CCSS.8.EE.B.5

A population of bacteria doubles every 3 hours. If you start with 100 bacteria, write an exponential function to represent the population (P) after t hours. Graph this function for the first 12 hours.

• P(t) = 100 + 2t

• P(t) = 100 * 2^(t/3)

• P(t) = 100 * 2^(t/6)

• P(t) = 100 * 3^(t/3)

Tags

CCSS.HSF.LE.A.2

A gym charges a monthly membership fee of $30 plus $5 for each class attended. Write a linear equation for the total cost (C) based on the number of classes (c) attended. How would you graph this equation?

• C = 30 + 5c

• C = 5c

• C = 30 + 10c

• C = 30 - 5c

Tags

CCSS.8.EE.B.5

A tree grows at a rate of 5 inches per year. If the tree is currently 10 inches tall, write a linear equation to represent its height (H) after y years. Graph this equation for the next 10 years.

• H = 5y

• H = 10 + 10y

• H = 10 + 5y

• H = 10 - 5y

Tags

CCSS.HSF-BF.A.1A

A certain investment grows by 8% each year. If you invest $1,000, write an exponential function to represent the value (V) of the investment after t years. Graph this function for the first 5 years.

• V(t) = 1000(1.05)^t

• V(t) = 1000(1.10)^t

• V(t) = 1000(1.08)^t; Values for the first 5 years: V(0) = 1000, V(1) = 1080, V(2) = 1166.4, V(3) = 1259.71, V(4) = 1360.49, V(5) = 1469.33

• V(t) = 1000(0.08)^t

Tags

CCSS.HSF.LE.A.2

A taxi company charges a base fare of $3 plus $2 for each mile traveled. Write a linear equation to represent the total fare (F) based on the number of miles (d) driven. How would you graph this equation?

• F = 2d

• F = 5 + 2d

• F = 3d + 2

• F = 3 + 2d

Tags

CCSS.8.EE.B.5

A savings account earns 5% interest compounded annually. If you start with $500, write an exponential function to represent the amount (A) in the account after t years. Graph this function for the first 10 years.

• A(t) = 500(1.10)^t

• A(t) = 500 + 0.05t

• A(t) = 500(1.05)^t

• A(t) = 500(0.05)^t

Tags

CCSS.HSF.LE.A.2

A factory produces 200 units of a product each day. If production increases by 10 units each day, write a linear equation to represent the total production (P) after d days. Graph this equation for the first week.

• P = 200 - 10d

• P = 200 + 10d

• P = 200d

• P = 210 + 10d

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

A smartphone app's user base grows exponentially. If it starts with 1,000 users and grows by 50% each month, write an exponential function to represent the user base (U) after m months. Graph this function for the first 6 months.

• U(m) = 1000 * (2)^m; User base after 6 months: 12800

• U(m) = 1000 * (1.2)^m; User base after 6 months: 2488.32

• U(m) = 1000 * (1.5)^m; User base after 6 months: 11390.625

• U(m) = 1000 * (1.75)^m; User base after 6 months: 19245.78

Tags

CCSS.HSF.LE.A.2

A local bakery sells cupcakes for $3 each. If they sell 50 cupcakes on the first day and increase sales by 10 cupcakes each day, write a linear equation to represent the total sales (S) after d days. How would you graph this equation?

• S = 3d + 50

• S = 10d + 30

• S = 5d + 50

• S = 10d + 40