Question

Hugo received $100 dollars for his birthday which he uses to make an initial deposit in

Answer 1

The linear equation for his balance over time is given by:

y = 20x + 100.

• The x-intercept is of 20, which is the amount by which the balance increases each week.

• The y-intercept is of 100, which is the initial balance.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

• m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

• b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, he stats the balance with the birthday present of $100, and gets an allowance of $20 a week, hence the equation for the balance after x weeks is given by:

y = 20x + 100.

Hence:

• The x-intercept is of 20, which is the amount by which the balance increases each week.

• The y-intercept is of 100, which is the initial balance.

More can be learned about linear functions at brainly.com/question/24808124

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