Question

Ernie spends his money on two hobbies: collecting vinyl records and trips to the bowling alley. Each month, he spends up to $200 on these hobbies. If records cost ~ $12 and trips cost ~ $15, write an absolute value inequality that shows Ernie’s spending to be less than $200.

Let x = # of records bought and y = # of trip

Answer 1

To write an absolute value inequality that shows Ernie's spending to be less than $200, we can set up two inequalities to represent his spending on vinyl records and trips to the bowling alley.

Step-by-step explanation:

To write an absolute value inequality that shows Ernie's spending to be less than $200, we can set up two inequalities to represent his spending on vinyl records and trips to the bowling alley. Let x represent the number of records bought and y represent the number of trips. The cost of records per month can be represented by 12x and the cost of trips by 15y. The absolute value inequality to represent Ernie's spending can be written as |12x + 15y| < 200.