Determine Functions and Linear Functions

Conner has $25,000 in his bank account. Every month he spends $1,500. He does not add money to the account.

Write a linear model that shows how much money will be in the account after x months.

• y=25000x-1500

• y=25000+1500

• y=1500x+25000

• y=-1500x+25000

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

Margaret is a waitress at The Seafood Bonanza.  She earns $3 an hour plus 90% of her tips.  Write an equation for her salary, S, if she works h hours and earns d dollars in tips.

• 3h + 0.90d = S

• S = 90d + 3h

• S = 3d + 90h

• S = 3h + 9.0d

Does this table represent a function?

• Function

• Not a Function

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.

• Yes, because each x-value has only one y-value paired with it.

• No, because the x-value 11 has two y-values pair with it.

• No, because each x-value has only one y-value paired with it.

What is the slope in the equation y=2x + 3?

• 2

• 3

• 5

• Cannot be Determined 

Is this function linear or nonlinear?

• Linear

• Nonlinear

Is the function linear or nonlinear?

• Linear Function

• Nonlinear Function