Question

Which situation is NOT a linear function?

1)A $12,000 car depreciates 15% per year.

2)A restaurant employee earns $12.50 per hour.

3) A cab company charges $2.50 initially and $3.00 per mile.

4)A gym charges a membership fee of $10.00 down and $10.00 per month.

Answer 1

1) This is exponential decay which is not linear.

Explanation:

1) This is exponential decay which is not linear.

2) $12.50/hour is linear

3) $3.00/mile is linear

4) $10/month is linear

Answer 2

1)A $12,000 car depreciates 15% per year.

Explanation:

A linear function is one that can be expressed in the form of
`y=mx+b`.

1)A $12,000 car depreciates 15% per year. This is not linear. It can be denoted by exponents with raise to power 't'

2)A restaurant employee earns $12.50 per hour.

This is linear.

Let x be the number of hours worked.

So, total cost will be: c = 12.50x

This is in the form of
`y=mx`

3) A cab company charges $2.50 initially and $3.00 per mile.

This is linear.

Let x be the number of miles driven, so total cost becomes:

`c=2.50+3x`

4)A gym charges a membership fee of $10.00 down and $10.00 per month.

Let the number of months be = x

So, total cost for gym is :

`c=10+10x`

This is also linear.