Did you try to do the problems first?
Answer:
1/3
Step-by-step explanation:
3x + y = 4
y = -3x + 4
the perpendicular slope is the reciprocal of the original slope.
so the slope would be 1/3
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 rate of change is the slope, the coefficient of the independent variable divided by the coefficient of the dependent variable. When the coefficient of the dependent variable (usually represented by y) is 1, the slope is just the coefficient of the independent variable (usually represented by x).
Step-by-step explanation: do what