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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<span>deconstructing
48 : 2 = 24
24 : 2 = 12
12 :2 = 6
6 : 2 = 3
3 : 3 = 1
2 * 2 * 2 * 2 * 3 = 48
...................................
16 : 2 = 8
8 : 2 = 4
4 : 2 = 2
2 : 2 = 1
2 * 2* 2 * 2 = 16
..................................
12 : 2 = 6</span>
<span>
6 : 2 = 3
3 : 3 = 1
</span><span>common denominator 48</span>
Answer:
A) 18x24
Step-by-step explanation:
The ratio of the dimensions will be the same for a similar rectangle.
12/16 = 3/4 . . . given rectangle
__
18/24 = 3/4 . . . choice A is similar
9/14 ≠ 3/4 . . . . choice B is not similar
6/10 = 3/5 . . . . choice C is not similar
16/20 = 4/5 . . . . choice D is not similar