Question

Which scenario best matches the linear relationship expressed in the equation y = 32x + 80?

Joseph has $80 in his bank account and spends $32 each day.
Joseph has $80 in his bank account and earns $32 each day.
Joseph had $32 in his bank account and deposited another $80.
Joseph has $32 in his bank account and earns $80 each day.

Answer 1

he has 80 in the bank account and earns 32 each day....where x represents the number of days and y represents the total in the account

Answer 2

Answer:

Option (2) best matches the given the linear relationship y = 32x + 80

Step-by-step explanation:

Given linear relationship as  y = 32x + 80

We have to find the best match from the given options to the given the linear relationship.

1) Joseph has $80 in his bank account and spends $32 each day.

Let the money Joseph spend each day be $x

Since, the amount one spend gets deducted from the money one have.

So, given statement is represented as y = 80 - 32x .

2) Joseph has $80 in his bank account and earns $32 each day.

Let the money Joseph earns each day be $x

Since, the amount one earns gets added to the money one have.

So, given statement is represented as y = 80 + 32x .

3) Joseph had $32 in his bank account and deposited another $80.

Since, he is depositing money in account so it gets add up

So, given statement is represented as  y = 32 + 80 = 112

4) Joseph has $32 in his bank account and earns $80 each day.

Let the money Joseph earns each day be $x

Since, the amount one earns gets added to the money one have.

So, given statement is represented as y = 32 + 80x .

Out of all four option, option (2) best matches the given the linear relationship y = 32x + 80