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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
(1400)/(100)m
C
140m
D
1400 m
E
1.4 m

A caterpillar eats $1400 \%$ of its birth mass in one day. The caterpillar's birth mass is $m$ grams. $\newline$ Which of the following expressions could represent the amount, in grams, the caterpillar eats in one day? $\newline$ Choose $2$ answers: $\newline$ A $14 m$ $\newline$ B $\frac{1400}{100} m$ $\newline$ C $140 \mathrm{~m}$ $\newline$ D $1400 m$ $\newline$ E $1.4 m$

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Write linear functions: word problems

Full solution

Q. A caterpillar eats

1400 \%

of its birth mass in one day. The caterpillar's birth mass is

m

grams.

\newline

Which of the following expressions could represent the amount, in grams, the caterpillar eats in one day?

\newline

Choose

2

answers:

\newline

A

14 m

\newline

B

\frac{1400}{100} m

\newline

C

140 \mathrm{~m}

\newline

D

1400 m

\newline

E

1.4 m

Understand the percentage: Understand the percentage. $1400\%$ means $1400$ out of $100$ , or $\frac{1400}{100}$ times the original amount.
Convert to decimal: Convert the percentage to a decimal. $\newline$ To convert a percentage to a decimal, divide by $100$ . $\newline$ $1400\% = \frac{1400}{100} = 14$
Apply to birth mass: Apply the decimal to the birth mass. $\newline$ The caterpillar eats $14$ times its birth mass in one day. $\newline$ Amount eaten = $14 \times m$
Check answer choices: Check the answer choices. $\newline$ We need to find the expressions that equal $14 \times m$ . $\newline$ A) $14m$ is correct because it is the same as $14 \times m$ . $\newline$ B) $(1400/100)m$ is correct because $1400/100$ simplifies to $14$ , and then multiplied by $m$ gives $14m$ . $\newline$ C) $140m$ is incorrect because it represents $140$ times the birth mass, not $14$ times. $\newline$ D) $14m$ $1$ is incorrect because it represents $14m$ $2$ times the birth mass, not $14$ times. $\newline$ E) $14m$ $4$ is incorrect because it represents $14m$ $5$ times the birth mass, not $14$ times.

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