Question

Tim earns $120 plus $30 for each lawn he mows. Write an inequality to represent how many lawns he needs to mow to make more than $310.how much he will make if he mows 9 lawns?

Answer 1

Let's use the variable x to represent the number of lawn Tim mows.

If he earns $120 plus $30 for each lawn, we can write the following equation for his earnings:

`\text{Earning}=120+30x`

Then, we want an earning greater than $310, so we have the following inequality:

`\begin{gathered} \text{Earning}>310 \\ 120+30x>310 \end{gathered}`

Now, to find the earning for 9 lawns, let's use x = 9 and calculate the total earning:

`\begin{gathered} \text{Earning}=120+30\cdot9 \\ \text{Earning}=120+270 \\ \text{Earning}=390 \end{gathered}`

Therefore his earning after mowing 9 lawns is $390.