Function Notation

The function H(t) = 8t +6 is the function that relates the height of the balloon in feet to the number of seconds (time) since it was released. What does H(5) mean in context?

• The variable H multiplied by 5

• The balloon was 5 feet high

• The height of the balloon after 5 seconds

• Every 5 seconds, the balloon is one foot higher

The function H(t) = 8t +6 is the function that relates the height of the balloon in feet to the number of seconds (time) since it was released.

If H(t)=86, what is t?

• 86

• 694

• 10

• 6

This table is a function.

• True

• False

This table is not a function.

• True

• False

You are looking into joining a gym. The costs associated with two different gyms are shown in the table. The functions calculate the total cost of the gym memberships, C(t), in terms of the number of months, m.

What phrase best describes the function for Better Abs?

• Every 5 months, the members are charged $1000

• Members are charged $5 each month with a one-time sign-up fee of $1000.

• Members are charge $5 per month up to $1000

• 5 people can join together for $1000.

You are looking into joining a gym. The costs associated with two different gyms are shown in the table. The functions calculate the total cost of the gym memberships, C(t), in terms of the number of months, m.

Which gym is the better deal for 3 years?

• Better Abs

• Guns & Poses

You are looking into joining a gym. The costs associated with two different gyms are shown in the table. The functions calculate the total cost of the gym memberships, C(t), in terms of the number of months, m.

If you spent a total of $2400 at Guns & Poses, how long were you a member?

• 48 years

• 2 years and 4 months

• 4 years

• 2 years

Ashley's job is to coordinate a basketball program at her community center. She is paid a flat rate of $50 for each session plus $2 for each student who attends. E(x)=50+2x is the function for Ashley's earnings in terms of the number of students per session.

What does E(8) mean in context?

• The variable E is multiplied by 8

• Ashley's earnings for eight students

• Ashley would earn $58 for the session

• Each student who attends the session must pay $8

Ashley's job is to coordinate a basketball program at her community center. She is paid a flat rate of $50 for each session plus $2 for each student who attends. E(x)=50+2x is the function for Ashley's earnings in terms of the number of students per session.

Which output is not possible for this function?

• 130

• 52

• 50

• 48

An electrician charges $55 to come to your house plus $40 per hour to do the job. F(x)=40x+55 is the function for the electrician's fee in terms of the number of hours he/she is at your home.

What does F(4) mean in context?

• The variable F is multiplied by 4

• Each hour the fee per hour increases by $4

• The electrician's fee would be $160

• The electrician's fee for four hours of work