<span>The answer would be: an = 10( one half )n − 1; average rate of change is </span><span>negative fifteen halves.
</span><span>This question is about exponent function/series. You are given 3 points from the function, point A (1,10), point B( 2, 5) and point C(4,1.25).
If you insert point A to the function, </span><span>an = 10( one half )^n − 1 </span>will give a result of 10 for n=1.
For n=0, the result would be:
an = 10( one half )^n − 1
an= 10(1/2)^0-1
an= 10(1/2)^-1= 10* 2= 20
Then the average rate of change from n=0 to n=2 would be:
Rate of change= (y2-y1)/ (x2-x1)
Rate of change= (5-20)/ (2-0)= -15/2= <span>negative fifteen halves</span>
Answer:
$90 ÷ $2.50 = 36
Massimo rode the bus 36 times.
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$27.5 for each case of water
$17.91 for each case of juice
1 minute = 60 seconds.
3 minutes x 60 seconds = 180 seconds.
180 seconds / 20 = 9
25 liters x 9 = 225
Total water in 3 minutes = 225 liters
