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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? {Multiple answers}

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.

Respuesta :

janemillsappdmbyx

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

JeanaShupp

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:

According to the given question we have two functions.

Function 1. [tex]y=12,000+400x[/tex]

Function 2. [tex]y=11,000+420x[/tex]

Both are written in intercept form of linear equation [tex]y=mx+c[/tex], where m is the slope of line or rate of change of y w.r.t. x.

Slope of function 1. = 400

i.e. Unit rate = $400 per month

Slope of function 2. = 420

i.e. Unit rate = $420 per month

⇒The function for plan II has a greater unit rate.

As both has positive slopes.

∴ Both functions are increasing functions.

For y intercept , put x=0 in the functions.

The y-intercept of function 1 = $12000

The y-intercept of function  2= $11000

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

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