Luis charges a travel fee of $10 plus $25 per month to mow his neighbors' lawns. If most of his customers only get their lawns mowed for 5 to 8 months out of the year, what is the RANGE of this situation?

Respuesta :

Answer:

135 to 210

Step-by-step explanation:

Given

[tex]Base\ Charge = 10[/tex]

[tex]Additional\ Charge = 25[/tex] monthly

Months = 5 to 8

Required

Determine the range of the function

First, we need to determine the function equation.

Let total charges be y and months be x

[tex]y = Base\ Charge + Additional\ Charge * x[/tex]

[tex]y = 10 + 25 * x[/tex]

[tex]y = 10 + 25x[/tex]

When x = 5:

[tex]y = 10 + 25 * 5[/tex]

[tex]y = 10 + 125[/tex]

[tex]y = 135[/tex]

When x = 8

[tex]y = 10 + 25 * 8[/tex]

[tex]y = 10 + 200[/tex]

[tex]y = 210[/tex]

Hence, the range is 135 to 210