## Modeling with a Linear Function

Which of the following could be modeled by $y=2x+5$? Answer YES or NO for each one.

- There are initially 5 rabbits on the farm. Each month thereafter the number of rabbits is 2 times the number in the month before. How many rabbits are there after $x$ months?
YES NO

Joaquin earns \$2.00 for each magazine sale. Each time he sells a magazine he also gets a five-dollar tip. How much money will he earn after selling $x$ magazines?

YES NO

Sandy charges \$2.00 an hour for babysitting. Parents are charged \$5.00 if they arrive home later than scheduled. Assuming the parents arrived late, how much money does she earn for $x$ hours?

YES NO

I have a sequence of integers. The first term of the sequence is 7 and the difference between any consecutive terms is always equal to 2.

YES NO

Sneak Preview is a members-only video rental store. There is a \$2.00 initiation fee and a \$5.00 per video rental fee. How much would John owe on his first visit if he becomes a member and rents $x$ videos?

YES NO

Andy is saving money for a new CD player. He began saving with a \$5.00 gift and will continue to save \$2.00 each week. How much money will he have saved at the end of $x$ weeks?

YES NO

## Comments

Log in to comment## jmirabel says:

over 5 yearsI like this task. You can also easily incorporate MP 3 which will help students gain a deeper understanding of modeling functions. You can also ask students to write their own scenario to present to the class. One other thought....MP 6 could also be incorporated here. You can have discussion about being precise when letting variables represent some quantity. During that discussion, students may also come to realize that y was not defined in the scenarios.