Sorry about the drawing but the line starts at the origin of the graph and since it is -x which means it has a negative slope. So the line would start at the origin going down by the slope of -1. hope this makes sense
We can use a ratio expression to find the answer to this problem.
Set up the ratio.
4/5 = x/25
Multiply both sides by 25.
100/5 = x
Divide by 5.
20 = x
This means out of 25 times the ball is kicked toward the goal, the goalie will block it 20 times.
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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On the face of it, [5.3%, 8.65%].
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If you mean that up to 8.65% may be added to the base 5.3% rate, then the total can be in the range [5.3%, 13.95%].
