Maggie and Emma race each other along a straight running track. Maggie starts some distance ahead of Emma. The graph describes the race. What is an appropriate domain for Emma line?

Step-by-step explanation:

See attachment for graph

Required

Determine the domain of Emma's line

First, we calculate the equation of Emma's line

Start by calculating the slope (m)

Where the x's and y's represent corresponding values of x and y on Emma's line

Emma's line is represented by the thick line.

So, we have:

becomes

The equation is then calculated using:

Where

So:

To get the domain, we have the following:

x represents time and x can not be negative.

So, the least value of x is: x = 0

The maximum value of x is unknown.

So, the maximum value of x is: x = +infinity

Hence, the domain is

$10496.77

Step-by-step explanation:

We have been given that Barbara puts $200 into an account every month that pays 4.5% interest, compounded monthly.

To find the money in the account after 4 years, we will use future value formula.  

, where,

R = Regular deposits,

r = Interest rate in decimal form

n = Number of times interest in compounded per year,

t = Time in years.

Substitute given values:

Therefore, there will be an amount of $10496.77 in the account after 4 years.