Question

I opened a grocery account at my bank with $100. Every week thereafter, I withdraw $45 from the account to pay for groceries. If x is the number of weeks I've had the account, then y is the amount in the account. Find an equation of a line in the form y = mx + b that describes my grocery account balance.

Answer 1

An equation of a line in the form y = MX + b that describes The grocery account balance is Y=45x+100.

What is an equation of a line?

A line's equation has the conventional form ax + by + c = 0. Here, the variables are x and y, the coefficients are a and b, and the constant term is c.

It is a first-order equation with the variables x and y. The coordinates of the point on the line shown in the coordinate plane are represented by the values of x and y.

The calculation is given as below:

According to the information provided, the equation would indicate that the amount in the account would be equal to $100plus -45, which represents the amount you withdraw from the account each week, multiplied by x, which represents the number of weeks:

where y=-45x+100

y=the account's balance

The number of weeks is x.

Hence, the equation so formed is  Y=45x+100.

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