Question

Your neighbor subscribes to Play-All-Day television service that charges a $20 installation fee and $15 per month. You have a similar plan through The Best Company television service and you paid a $32 installation fee and $12 per month. WRITE AND SOLVE an equation to determine the month when you would pay the SAME total amount as your neighbor for television service

Answer 1

4months

Explanation:

Play-All-Day television service

the Modell for the cost is given as

y=mx+c

y=15x+20------------1

where x is the number of months

The Best Company television service

the Modell for the cost is given as

where x is the number of months

y=mx+c

y=12x+32------------2

equating 1 and 2 we can solve for x, we have

15x+20=12x+32

15x-12x=32-20

3x=12

divide both sides be 3

x=12/3

x=4

the number of months is 4months