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ANEK [815]
4 years ago
8

Heath has 10 pennies in his piggy bank initially. He doubles the number of pennies in his piggy bank each day for five days. wri

te an equation for this problem to put in a graph
Mathematics
1 answer:
vaieri [72.5K]4 years ago
5 0

Answer:

y = 10 * 2^x

OR

y(5) = 10 * 2^5

Day 0 = 10 pennies: Point(0, 10)

Day 1 = 20 pennies: Point(1, 20)

Day 2 = 40 pennies: Point(2, 40)

Day 3 = 80 pennies: Point(3, 80)

Day 4 = 160 pennies: Point(4, 160)

Day 5 = 320 pennies: Point(5, 320)

Step-by-step explanation:

Heath has 10 pennies, so pennies = 10.

He doubles the number of pennies each day, so total pennies = 10 * 2 to the power of # of days.

Using the equation y = 10 * 2^x will give you the answer for any number of days. Since the problem asks for 5 days, you plug in 5 for x. On the graph, this would be a single point (5, 320).

So, plot the 6 points you have and connect a curved line through it. That should be your answer.

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X=number of girls.
y=number of boys.
We can suggest this system of equations:
2/7 x=3/5 y ⇒10x=21y   ⇒x=21/10 y
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We can solve this problem by substitution method:
x=(21/10)(x-165)
10x=21x-3465
10x-21x=-3465
-11x=-3465
x=-3465 /-11=315

y=x-165=315-165=150

Number of children=number of girls + number of boys
Number of children=315 +150=465

Answer: there were 465 children  at the festival. 
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