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A caterpillar eats 
1400% of its birth mass in one day. The caterpillar's birth mass is 
m grams.
Which of the following expressions could represent the amount, in grams, the caterpillar eats in one day?
Choose 2 answers:
A 
14 m
B 
1.4 m
c 
1400 m
D 
(1400)/(100)m
E 
140 m

A caterpillar eats 1400% 1400 \% of its birth mass in one day. The caterpillar's birth mass is m m grams.\newlineWhich of the following expressions could represent the amount, in grams, the caterpillar eats in one day?\newlineChoose 22 answers:\newlineA 14m 14 m \newlineB 1.4m 1.4 m \newlinec 1400m 1400 m \newlineD 1400100m \frac{1400}{100} m \newlineE 140m 140 m

Full solution

Q. A caterpillar eats 1400% 1400 \% of its birth mass in one day. The caterpillar's birth mass is m m grams.\newlineWhich of the following expressions could represent the amount, in grams, the caterpillar eats in one day?\newlineChoose 22 answers:\newlineA 14m 14 m \newlineB 1.4m 1.4 m \newlinec 1400m 1400 m \newlineD 1400100m \frac{1400}{100} m \newlineE 140m 140 m
  1. Understand the percentage: Understand the percentage. 1400%1400\% means 14001400 out of 100100, or 14001400 divided by 100100.
  2. Convert to decimal: Convert the percentage to a decimal.\newlineTo convert a percentage to a decimal, divide by 100100.\newline1400%1400\% as a decimal is 1400÷100=141400 \div 100 = 14.
  3. Calculate amount eaten: Calculate the amount the caterpillar eats.\newlineIf the caterpillar's birth mass is mm grams, then eating 1400%1400\% of its birth mass means it eats 1414 times its birth mass.\newlineAmount eaten = 14×m=14m14 \times m = 14m.
  4. Check answer choices: Check the answer choices.\newlineWe have determined that the caterpillar eats 14m14m grams. Now we need to check which answer choices match this expression.\newlineA) 14m14m - This matches our calculation.\newlineB) 1.4m1.4m - This is 1010 times less than what we calculated.\newlineC) 1400m1400m - This is 100100 times more than what we calculated.\newlineD) (1400/100)m(1400/100)m - This simplifies to 14m14m, which matches our calculation.\newlineE) 140m140m - This is 1010 times more than what we calculated.

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