Subject Mathematics, 06.11.2020 05:30 tonya3498
2. (15 points) Sheila needs to hire a babysitter for the evening. The babysitter charges $10 for each
hour and also charges for the time she spends driving to and from the house. She thinks it will take
1.5 hours of total driving time. Sheila is willing to spend $80 for the night for babysitting.

A. Write an equation to determine for how many hours Sheila can afford to hire the babysitter.

B. Use the guess-and-check method to determine how many hours of babysitting Sheila can
afford.

C. Sheila finds another babysitter that lives much closer to her and would only need 1 hour of
driving time. However, she charges $15 per hour. Write an equation to determine how many hours
of babysitting Sheila could buy from her.

D. Can Sheila afford the same amount of babysitting from the second sitter as she could from the
first sitter?

∞ this is your sign

da freeck kinda math is this just drop out

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!