When someone purchases a new car and begins to drive it, generally speaking, the resale value of the car (in dollars) goes down each year. Let represent the number of years since purchase and represent the resale value of thecar (in dollars). The linear function that models the resale value based on the number of years since purchase is y = 32000 - 3500x. What can we say about the rate of change and the initial value? Answer fast please 25pts. multiple choice.

A. The rate of change is 32000 and the the initial value is -3500. $32000 represents the decrease of value per year and -3500 represents the initial value of the car.

B. The rate of change is 3500 and the initial value is 32000. 3500 means that the car increases its value by $3500 every year and the initial value is $32000.

C, The rate of change is -3500 and the initial value is 32000. -3500 represents the initial value of the car.

D. The rate of change is -3500 and the initial value is 32000. 32,000 represents the initial value of the car and -3500 is the decrease in value of the car every year.

D

Step-by-step explanation:

$32000 initial value

-3500 every year after purchase  

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled

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!