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.

Answer 1

To represent Ernie's spending on vinyl records and trips to the bowling alley as variables and write an absolute value inequality expressing his spending to be less than $200.

Step-by-step explanation:

To write an absolute value inequality that shows Ernie's spending to be less than $200, we can represent Ernie's spending on vinyl records and trips to the bowling alley as variables. Let's use 'x' to represent the number of records Ernie buys and 'y' to represent the number of bowling trips he takes. Since records cost $12 each and bowling trips cost $15 each, the total amount Ernie spends can be calculated as 12x + 15y. The given information states that Ernie spends up to $200, so we can write the absolute value inequality as |12x + 15y| < 200.