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3 years ago

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Enrico deposited $2000, in a savings account. Each month he will deposit an additional $25. Which kind of function best models t

he relationship between time and the total amount in the savings account?

1 answer:

AfilCa [17]3 years ago

3 0

Answer:

<em> Linear model </em>

The function f(x) which represents the total amount in the savings account in x months is given by: f(x)=25x+2000

Step-by-step explanation:

Given:

Enrico deposited $2000 in a savings account.

Each month he will deposit additional $25.

This shows that the rate at which the amount is increasing each month is constant.

Therefore, the model will be linear with a slope 25.

So , if x represents the number of months.

and f(x) represents the corresponding amount in the account.

Then the function f(x) is given by: f(x)=25x+2000

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Answer:

Second choice:

$x=2t$

$y=4t^2+4t-3$

Fifth choice:

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Step-by-step explanation:

Let's look at choice 1.

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Let's look at choice 2.

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$y=x^2+2x-3$

This is the desired result.

Choice 3:

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$x+3=t$ .

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$y=(x+3)^2+2(x+3)$

Expanding using the distributive property and the earlier identity mentioned to expand the binomial square:

$y=(x^2+6x+9)+(2x+6)$

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Choice 4:

$x=t^2$

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I'm going to solve the bottom equation for $t$ since I don't want to deal with square roots.

Add 3 on both sides:

$y+3=2t$

Divide both sides by 2:

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Plug into equation 1:

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Step-by-step explanation:

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