Question

Jacob earns $7 for every lawn he mows. Help him find his total earnings in d, dollars. Use the equation 7L = D to fill in the table. Then plot the points on the graph. Connect the points to make a line.

Answer 1

ANSWER and EXPLANATION

The equation that represents the situation is:

`\begin{gathered} D=7L \\ \text{where D = amount he earns} \\ L=\text{ number of lawns mowed} \end{gathered}`

To fill the table, substitute the value of L and find the corresponding value of D and vice versa:

`\begin{gathered} \text{when L = 1:} \\ D=7\cdot1 \\ D=\text{ \$7} \end{gathered}`
`\begin{gathered} \text{when D = 21:} \\ 21=7\cdot L \\ L=(21)/(7) \\ L=3\text{ lawns} \end{gathered}`
`\begin{gathered} \text{when L = 4:} \\ D=7\cdot4 \\ D=\text{ \$28} \end{gathered}`

Now, plot the graph: