The cost, (x), for parking in a city lot is given by c(x) = 3x + 4.00, where x is
the number of hours. what does the slope mean in this situation?
a. the rate of change of the cost of parking in the lot is $3.00 per
hour.
b. the rate of change of the cost of parking in the lot is $4.00 per
hour.
c. it costs a total of $4.00 to park in the lot.
d. parking in the lot costs $3.00 per car.

Option A

Step-by-step explanation:

we have

x > is the number of hours

c(x) > is the cost for parking in a city lot

we know that

c(x)=3x+4.00

This is a linear equation in slope intercept form

where

the rate of change or slope m is equal to m=$3 per hour

the y-intercept is equal to b=$4.00 (this is the cost when the number of hours is equal to zero)

therefore

The rate of change of the cost of parking in the lot is $3.00 per

hour

what

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!