Real Life Functions

Jeff has already read 50 pages of his book.  In 10 minutes he can read 8 pages.  If p represents the total number of pages he has read and m represents the number of minutes he reads, then which equation best models this situation?  If the book is 225 pages, will he finish the book in 3 hours?

• p = 4.2m + 50 and yes

• p = 1.25m + 50 and yes

• p = 0.8m + 50 and no

• p = 4.2m + 50 and no

Valley Video charges a $15 annual fee plus $3 per movie for rentals. Last year, Jennifer spent $99 at the video store. How many movies did she rent? Write the linear equation and solve for the number of movies.

• 15x + 3x = 99    and 6 movies

• 15x + 3 = 99 and 6 movies

• 3x + 15 = 99 and 28 movies

• 3x + 99 = 15 and 28 movies

A waitress ears $100 every week plus tips from customers.  She can only keep 75% of the tips that she earns each week.  Which linear function below best models the relationship between the amount of money the waitress earns(M) and the amount of tips(t) she receives?  How much money would she earn in a week if she receives $252 in tips?

• M = 0.75t + 100 and $289

• M = 0.75t + 100 and $189

• M = 75t + 100 and $289

• M = 100t + 75 and $25,275

A videoke machine can be rented for 1000 pesos for the 1st 24 hrs. In excess, an amount of 40 pesos per hour or a fraction of an hour shall be charged. What is the correct piecewise function that can represent the given situation?

A videoke machine can be rented for 1000 pesos for the 1st 24 hrs. In excess, an amount of 40 pesos per hour or a fraction of an hour shall be charged. How much should you pay for the rent if you used it for 34 hrs. and 15 mins.?

A videoke machine can be rented for 1000 pesos for the 1st 24 hrs. In excess, an amount of 40 pesos per hour or a fraction of an hour shall be charged. How much should you pay for the rent if you used it for 30 hrs.?

What is the domain of the parabola created by the ball?

• Domain : 0 ≤ d ≤ 280

• Domain : 0 ≤ h ≤ 150

• Domain : 0 ≤ d ≤ 570

• Domain : 0 ≤ h ≤ 280

What is the range of the graph?

• All real numbers

• 0 ≤ x ≤ 4

• 0 ≤ x ≤ 2000

• 0 ≤ y ≤ 2000

The graph below shows the height, in feet, over time, in seconds, of a student's rocket. Use the graph to answer the questions below. What was the maximum height the rocket reached?

• 25 feet

• 45 feet

• 65 feet

• 85 feet

Mrs. Martone's 7th grade science class built and launched rockets. The graph below shows the height, in feet, over time, in seconds, of a student's rocket. Use the graph to answer the questions below. How long did it take the rocket to reach its maximum height?

• 1 second

• 5 seconds

• 7 seconds

• 11 seconds