Question

Sunil owes Cara $500. He makes $40 per day at his job and gives her half until the debt is paid off. Which equation represents Sunil's debt D after x days?

Answer 1

The equation that represents Sunil's debt after x days is D = 500 - 20x.

Step-by-step explanation:

To find the equation that represents Sunil's debt after x days, we need to determine how much he pays Cara each day. Since Sunil makes $40 per day, he gives her half of that amount, which is $20. So, each day his debt decreases by $20. The starting debt is $500, so the equation that represents Sunil's debt D after x days is: D = 500 - 20x.

Answer 2

Sunil owes Cara $500 and pays her $20 per day from his earnings. The equation representing his remaining debt D after x days is D = 500 - 20x.

Step-by-step explanation:

To determine the equation that represents Sunil's debt D after x days when he owes Cara $500 and makes $40 per day at his job, which he then gives half of his earnings to Cara until the debt is paid off, we can set up a linear equation. Each day he works, he earns $40, and he gives half of that, which is $20, to Cara. Thus, for each day Sunil works, his debt decreases by $20.

The equation representing Sunil's remaining debt D after x days would be:

D = 500 - 20x

This equation starts with the initial debt of $500 and subtracts $20 for each day that Sunil works and makes a payment.