Laurie's parents gave her $25 to open a checking account. At the end of each week after the account was opened, Laurie deposited $20 into her checking account. No other money was
deposited into or withdrawn from the checking account
a. What was the total amount of money in Laurie's checking account at the end of week 5?
Show or explain how you got your answer.
b. On the grid in your Student Answer Booklet, plot six points with coordinates (x, y), in
which x and y are defined as follows:
• r = the number of weeks since the account was opened (in whole numbers
from 0 through 5), where x = 0) corresponds to the opening of the account
· y = the total amount of money in the account at the end of week x
Be sure to label the x-axis and y-axis, indicate the scale on each axis, and include a title
for your graph.
c. Write an equation that represents the line that passes through all the points plotted in
part (b). Show or explain how you determined your equation.
d. For the line represented by your equation in part (c), explain the meaning of the y-intercept
in the context of this problem.

Write an explicit formula that represents the sequence defined by the following recursive formula:

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24

Aclothing designer is selecting models to walk the runway for her fashion show. the clothes she designed require each model’s height to be no more than y inches from 5 feet 10 inches, or 70 inches. which graph could be used to determine the possible variance levels that would result in an acceptable height, x?