Samantha won a trip to Europe in a contest she had entered. Rather than take the trip, she opted to take the cash value of the prize and put it in savings account she uses as a college fund. She plans to keep this money in the college fund and let it earn interest for 8 years. At the end of
8 years, she'll use the total balance to help pay for tuition at law school

Domain : 0 ≤ x ≤ 8

Range : 5450 ≤ f(x) ≤ 6588.65

Step-by-step explanation:

Expression representing the money Samantha collected after x years is,

f(x) =

Time 'x' duration for the investment starts from t = 0 and ends at 8 years, so the domain of the given function will be,

Range : 0 ≤ x ≤ 8

Money collected in the fund from 0 to 8 years is,

f(0) =

     = $5450

f(8) =

     = $6588.6

Therefore, range of the graphed function will be,

Range : 5450 ≤ f(x) ≤ 6588.65

7

step-by-step explanation:

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)