Jenna's 4runner is expected to get 22 miles/gallon on the highway, or she can
rent a hyundai elantra, which gets 40 miles/gallon.' on her next trip, she will drive
150 miles, and gas is expected to cost $3.59/gallon,
part a: use your estimation skills to estimate which vehicle would cost more in
gas. about how much more? explain your strategy.
part b: what is the actual cost of the gas for each vehicle? explain your strategy.

A.4Runner cost more for $11.02

              B.Cost of fuel for Elentra: 3.75*3.59=$13.46

                 Cost of fuel for 4Runner : 6.818*3.59=$24.48

Step-by-step explanation:

A.Find how many gallons 4Runner spends on 150 mile trip.

use proportion

22:1=150:x

22x=150

x=150/22

x=6.818 gallons  

Cost of fuel for 4Runner : 6.818*3.59=$24.48

Calculation for Elentra:

40:1=150:x

40x=150

x=150/40

x=3.75 gallons

Cost of fuel for Elentra: 3.75*3.59=$13.46

Cost of fule for 4Runner-Cost of fuel for Elentra=24.48-13.46=$11.02

4Runner cost more for $11.02

B.Cost of fuel for Elentra: 3.75*3.59=$13.46

Cost of fuel for 4Runner : 6.818*3.59=$24.48

a box 3 3/4 feet long or 4+ feet.

step-by-step explanation:

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!