The table is:
Number of washes denoted by x: 0, 8, 12
Amount left on card denoted by y: 30, 18, 12
a. Write an equation that shows the amount of dollars left on the card
Solution:
18 – 30 divided by 8 – 0 = -12/8
On simplest form is -3/2
The equation is y = -3/2x + 30
b. Explain the meaning of the negative slope above.
As the number of car washes increase, the dollars left on the card decreases.
c. What is the maximum value of x?
0 = -3/2x + 30
2/3 x 3/2 x = 30/1 x 2/3
Cancel 2/3 x 3/2 and reduce 30 by 3 we get 10, 10 x 2
x = 20
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The class will spend 19.32 on bookmarks
$0.84 x 23 = 19.32
Step-by-step explanation:
x+90+4x-75=180
add all the sides together and since its a triangle they equal to 180
Answer:
The dimensions of the screen are
Length:102 feet
Width: 82 feet
Step-by-step explanation:
we know that
The area of the rectangle (movie screen) is equal to

where
L is the length
W is the width
we have

so
----> equation A
The screen is 20 feet longer than it is wide.
so
---> equation B
substitute equation B in equation A

solve for W

solve the quadratic equation by graphing
the solution is W=82 ft
see the attached figure
Find the value of L

therefore
The dimensions of the screen are
Length:102 feet
Width: 82 feet
He spends 30 to enter and 4 per ride
y = 4x + 30....with x being the number of rides and y being the total cost