1. A car priced at $25,329 is financed with a simple interest rate of 4.25% for 5 years with no down payment. Payments
of $511.86 are made each month. Another car priced at $22.464 is financed with a simple interest rate of 3.78% for 5
years with a down payment of $2,500. Payments of $395.62 are made each month.
a. For each loan, generate a table, graph, and equation that can be used to represent the balance after the down
payment, if applicable, and the first 12 months of payments. The tables should represent the number of months
in terms of x and the balance of the loan after each month's payment in terms of y.
b. Determine the rate of change, or slope, of each line and state the y-intercepts.
c. Using your generated graph for the first situation, describe how the unit rate of the amount of money paid
monthly is related to the slope of the line.
d. Determine if each relationship represented in the table, graph, and equation represents a proportional or non-
proportional situation
e. Use a set of ordered pairs, table, mapping, or graph to determine if each relationship represents a function.

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!