Question

Hugo received $100 dollars for his birthday which he uses to make an initial deposit in
a saving account. He gets an allowance of $20 per week which he deposits in his saving
account. Write an equation to represent the balance of his saving account over time.
Which amount represents the slope?
Which amount represents the y-intercept?
v
The equation would be written as:
y=
X+
<
The x in this equation represents:
The y in this equation represents:

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 https://brainly.com/question/24808124

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