Sam has 100$ in the bank and deposits $18 per month. Gil has $145 in the bank and deposits $15 per month. In how many months will Gil have a larger bank balance than sam?

The accounts will be equal in 15 months.

Explanation:

So, Gil will have a larger balance than Phillip for 14 months.

Here's how I got there:

I'm letting "x" be the variable that represents the number of months, and I'm setting up two expressions, one for Phillip:

100+18x,

and one for Gil:

145+15x .

100 and 145 are the starting balances, 18 and 15 are the amounts each is depositing into his account each month, for "x" number of months.

I'm going to set these expressions equal to each other:

100+18x=145+15x.

(1) Subtract  

15x

from both sides:

100+3x=145.

Subtract  

100

from both sides:

3x=45.

(3) Divide both sides by  

3x=15

This is the number of months at which the account balances will be equal.

from the figure we get,

the x axis shows   the months and,

the y-axis shows the number of satisfied customer.

each line or each cell in upward direction (y-axis) shows 500.

the appropriate scale for the y - axis is: -

a = 2000 customers

b = 4000 customers

c = 6000 customers

d = 8000 customers

e = 10000 customers

f = 12000 customers

g = 14000 customers

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.