Question

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.

How did you get this answer?

Answer 1

the answers are A C and E because all functions are linear equations and it is positive and would go up on a graph and goes up at a constant rate of 350. Hope this helps

Answer 2

Answer:

Given equation is :

$y=10000+350x$

y represents the total amount in dollars Chuck will have invested.

x represents the number of months elapsed.

The scheme is for 5 years or 12*5=60 months

Now, the equation is a linear equation. As 'x' increases, 'y' increases.

So, the true statements will be :

A) The function is a linear function.

C)The function is an increasing function. This is because the value of 'y' will increase with each month.

E)The function changes at a constant rate. This is correct as 350 is added to each previous value thus it increases at a constant rate.