Assume that the rule connecting height of the candle to time is a linear one. If you do, then we have to find the equation of this line, and then use this equation to predict the height of the candle after 11 hours.
Two points on this line are (6,17.4) and (23, 7.2). The slope is thus
7.2-17.4 -6
m = --------------- = ----------- or -3/5.
23-6 10
Find the equation of the line. I'm going to use the slope-intercept formula:
y = mx + b => 7.2 = (-3/5)(23) + b. Solving for b, b = 21.
Now we know that y = (-3/5)x + 21
Let x=11 to predict the height of the candle at that time.
y = (-3/5)(11) + 21 = 14.4 inches (answer)
I think the answer is 1/16 because there is only one way that HTHT can fall out of 16 possible outcomes. That's what I think. Hope this helps!
Haha, part of my final today was about this! Don't worry, I got you!
y=2/3x-4
(the 2/3 is supposed to be a fraction)
Answer:
2x + 4y
$40
Step-by-step explanation:
Equation for x small balloons and y large balloons
2x + 4y
Total cost of 10 small balloons and 5 large balloons
x = 10, y = 5
2(10) + 4(5)
= 20 + 20
= $40
