Question

Select all the correct answers.

William wants to choose between two five-year investment plans. In plan I, he is required to make a one-time investment of $12,000 and then equal monthly investments of $400. For plan II, the function y = 11,000 + 420x represents the total amount in dollars, y, William will have invested in relation to the number of months elapsed, x.

Which statements about the functions for the two investment plans are true?

The functions are both increasing.
The functions are both decreasing.
The function for plan I has a greater unit rate.
The function for plan II has a greater unit rate.
The function for plan I has a greater y-intercept.
The function for plan II has a greater y-intercept.

Answer 1

the functions are both increasing

the functions for plan II had a greater unit rate

and the functions for plan I has a greater y intercept

Answer 2

Answer:

The functions are both increasing.

The function for plan II has a greater unit rate.

The function for plan I has a greater y-intercept.

Step-by-step explanation:

In plan I, he is required to make a one-time investment of $12,000 and then equal monthly investments of $400.

In equation forms, it is :

$y=12000+400x$

Where 'x' is the number of months elapsed.

Plan 2 can be shown as :

$y=11000+420x$

Now, the correct statements about the functions are:

1. As both are linear functions, they are increasing here. The functions are both increasing.

2. The function for plan II has a greater unit rate. Unit rate is $420 per month(x).

3. The function for plan I has a greater y-intercept.

Lets check this-

for 3 months we can check like-

$y=12000+400(3)$

$y=12000+1200$

y=13200

$y=11000+420(3)$

$y=11000+1260$

y=12260