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Sagot :

Eddie's account can be modelled as a linear function.

Ely's account can be modelled as an exponential function.

Ely's account  would be higher than Eddie's account by $207.98.

What is a linear function?

A linear function is a function that has one variable that is raised to the power of 1. An example is 5x + 2.

Eddie's account can be modelled as a linear function because it increases by $240 every year. The linear function is $3000 + $240x. Where x is the number of years.

What is an exponential function?

An exponential function is a function that is in the form y = [tex]a^{x}[/tex].

Ely's account can be modelled as an exponential function because it increases by [tex]1.08^{x}[/tex]. The exponential function is $3000 x  [tex]1.08^{x}[/tex]. Where x is the number of years.

What is the difference between Ely ad Eddie's account in 5 years?

Value of Eddie's account in 5 years = $3000 + $240(5) = $4,200

Value of Ely's account in 5 years = $3000 x  [tex]1.08^{5}[/tex] = $4,407.98.

Difference = $4,407.98 - $4,200 = $207.98

To learn more about linear functions, please check: https://brainly.com/question/19462599

MrRoyalidn

The table is an illustration of a linear and an exponential function.

  • Eddie's account represent a linear function, while Ely's represent an exponential function
  • Ely's balance would be $208 greater than Eddie's in 5 years

How to determine the function

From the table, we can see that Eddie's balance increase by 240 each month.

This represents a linear function.

Also, we can see that Ely's balance increases at a rate of 8% each month.

This represents an exponential function.

So, we have:

[tex]y = 3000 + 240x[/tex] -- Eddie's account

[tex]y = 3000(1.08)^x[/tex] --- Ely's account

The balance after 5 years

In (a), we have:

[tex]y = 3000 + 240x[/tex] -- Eddie's account

[tex]y = 3000(1.08)^x[/tex] --- Ely's account

So, their balance in 5 years is:

[tex]y =3000 + 240*5[/tex]

[tex]y =4200[/tex]

[tex]y = 3000(1.08)^5[/tex]

[tex]y = 4408[/tex]

Calculate the difference (d)

[tex]d = 4408 - 4200[/tex]

[tex]d = 208[/tex]

Hence, Ely's balance would be $208 greater than Eddie's

Read more about linear and exponential functions at:

https://brainly.com/question/4119613

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