Question

Which situations can be represented by a linear function?

Select each correct answer.

Every year, Luisa puts $10 into her savings account.

Every day, the number of bacteria in the dish is 3 times what it was the previous day.

The barrel leaks 0.5 L of water each day.

A country's population increases by 0.8% each year.



Multiple choice

Answer 1

Answer: Every year, Luisa puts $10 into her savings account.

The barrel leaks 0.5 L of water each day.

Explanation:

A linear function has the form
`y=f(x)=a+bx`

The rate of change for a linear function always remain constant.

If every year, Luisa puts $10 into her savings account.

Here, the rate of change remains constant each year=$10

If the barrel leaks 0.5 L of water each day.

The rate of change in the quantity of water is constant i.e. 0.05 L each day.

The rest of other situations do not have constant rate of change.