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Chuck chooses an investment plan that requires him to make a one-time investment of $10,000, and then equal monthly investments of $350 for the next 5 years. The function y = 10,000 + 350x represents the total amount in dollars Chuck will have invested, y, in relation to the number of months elapsed, x.


Which statements about this function are true?



a)The function is a linear function.

b)The function is a nonlinear function.

c)The function is an increasing function.

d)The function is a decreasing function.

e)The function changes at a constant rate.

Respuesta :

As the function is

y = 10,000 + 350x , Here x is the number of months elapsed and y is the amount after x number of months.

This function is for the form

y = mx +b or y = b +mx

which is the form of a linear equation

So the given function is a linear function.

So a is true

a)The function is a linear function.

Also The function is increasing at a constant rate , So options C and E are also correct

So

A, C and E

Answer:

A, C and E are correct.

Step-by-step explanation:

The given function is

[tex]y=10,000+350x[/tex]

Where [tex]y[/tex] is the total amount of money and [tex]x[/tex] is months.

What the function states is that Chuck started with $10,000 and then, he began to save $350 per month.

An important fact is that this function is linear, because both variables as the unit as exponent. In consequence, the graph of the function is a straight line.

Additionally, this is an increasing function, because the coefficient of the variable is positive.

Finally, this function has a constant rate of change, which is a characteristic of linear functions, its rate is $350 per month.

Therefore, the right answers are a, c and e.

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