Tim explained a function in words and paul wrote an equation. tim the amount of money in a savings account increases at a rate of $225 per month. after eight months, the bank account has $4,580 in it. paul y−1,400=56(x+26) whose function has the smaller y-intercept? tim's with a y-intercept of $2,700 paul's with a y-intercept of $2,856 paul's with a y-intercept of $2,800 tim's with a y-intercept of $2,780

Tim's with a y-intercept of $2,780

Step-by-step explanation:

In order to solve this problem we must first find the equation Tim is describing with words. So let's take the first part of the problem:

"The amount of money in a savings account increases at a rate of $225 per month."

this can be written as an equation like this:

where y is the amount of money in the savings account, x is the number of months and is the original ammount of money in the account.

Next, the problem states:

"After eight months, the bank account has $4,580 in it."

so we can use this value to find the initial amount of money in the account, so we plug that value in:

when solving for

we get:

so the equation can now be completed, so we get:

y=225x+2780

whose y-intercept is 2780.

Let's analyze Paul's equation now:

y-1400=56(x+26)

so let's rewrite this equation in slope intercept form. We can do that by solving the equation for y, so we get:

y=56x+1456+1400

which yields:

y=56x+2856

in this case, the y-intercept is 2856.

As you may see, Tim's equation hast the smaller y-intercept which was $2780.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

c) the median for town a 30" is greater than the median for town b 25"

step-by-step explanation:

town a, median = q2 = 30

town b, median - q2 = 25

so the median for town a 30" is greater than the median for town b 25"