Answer:
15, 8, 25 The teacher payed 0.40 per book.
Step-by-step explanation:
4/10 = 2/5 Simplify the 4/10 to find the unit rate.
15: 2/5 = 6/x Set up your proportion.
2x =30 Cross multiply
/2 /2 Divide both sides by 2 to isolate x
x =15
8: 2/5 = x/20 Set up proportion
40 =5x Cross multiply
/5 /5 Divide both sides by 5 to isolate x
8 =x
25: 2/5 = 10/x Set up proportion
2x =50 Cross multiply
/2 /2 Divide both sides by 2 to isolate x
x =25
Graph: y=mx+b To graph, you will need to use y=mx+b format
y= 2/5 x+2 2/5 is your unit rate. Your rate changes every 2 books bought. To graph, start at (0,2) and go up 2 and to the right 5, plot. Continue moving up 2 and to the right 5 to graph.
The teacher payed 0.40 per book because 2/5 simplifies to 0.40.
To get the function y = <span>-2+5sin(pi/12(x-2)), the maximum value can be determined by differentiating the function and equating it to zero. The value of x will give the maximum value of the function.
dy/dx = 5 cos (pi/12 (x-2)) (pi/12)
dy/dx = 5 pi/12 cos(pi/12 (x-2))
Equate to zero</span>:
<span>5 pi/12 cos(pi/12 (x-2)) =0
pi/12 (x-2) = 3pi/2
x = 8
Substituting,
y= -2 + 5sin( pi/12 (8-2)
y = -1.86
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