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You open a bank account with $100 and deposit 15 every week. Create an equation to model the total amount of money,y, in dollars, you will need to save after x months. How many weeks will it take to have $250?

Respuesta :

Answer:

[tex]Y = 15x+ 100[/tex]

x = 10 months

Step-by-step explanation:

Given:

Initial deposit = $100

Weakly deposit = $15

Solution:

We need to create an equation where total amount is y is equal to initial deposit plus multiplication of weakly deposit and month x, so the equation is written as.

[tex]Y = 15x+ 100[/tex] ---------(1)

Where:

Y = Total amount

x = Number of months.

Second thing we need to find the month for y = $250

Now, we substitute y = 250 in equation 1.

[tex]250 = 15x+ 100[/tex]

[tex]15x=250-100[/tex]

[tex]15x =150[/tex]

[tex]x=\frac{150}{15}[/tex]

x = 10 months

Therefore, we need to required 10 months for $250.