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Tim explained a function in words and Paul wrote an equation.

Tim

The amount of money in a savings account increases at a rate of $225 per month. After eight months, the bank account has $4,580 in it.

Paul

y−1,400=56(x+26)

Whose function has the smaller y-intercept?

Tim’s with a y-intercept of $2,700
Paul’s with a y-intercept of $2,856
Paul’s with a y-intercept of $2,800
Tim’s with a y-intercept of $2,780

Respuesta :

The correct statement regarding which linear function has the lowest y-intercept is given by:

Tim’s with a y-intercept of $2,780

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.

For Tim's account, we have that:

m = 225, y(8) = 4580, hence:

y = 225x + b.

4580 = 225(8) + b

b = 4580 - 225(8)

b = $2,780.

For Paul's account, the y-intercept is given by:

y = 1400 + 56(26) = $2,856.

Hence the correct statement is:

Tim’s with a y-intercept of $2,780

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

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ChelseaWelsey

Answer:

D. Tim’s with a y-intercept of $2,780

Step-by-step explanation:

I did the test and got it correct

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