Unit test

Google Classroom

Problem

A caterpillar eats $1400\%$1400, percent of its birth mass in one day. The caterpillar's birth mass is $m$m grams.

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

Choose 2 answers:

Choose 2 answers:

• (Choice A, Checked, Correct)

  CORRECT (SELECTED)

  $14m$14, m
• (Choice B, Checked, Correct)

  CORRECT (SELECTED)

  $\dfrac{1400}{100}m$start fraction, 1400, divided by, 100, end fraction, m
• (Choice C, Incorrect)

  INCORRECT

  $140m$140, m

  $1400\%$1400, percent means $1400$1400 per hundred, which we can write as $14$14, not as $140$140.
• (Choice D, Incorrect)

  INCORRECT

  $1400m$1400, m

  $1400\%$1400, percent means $1400$1400 per hundred, which we can write as $14$14, not as $1400$1400.
• (Choice E, Incorrect)

  INCORRECT

  $1.4m$1, point, 4, m

  $1400\%$1400, percent means $1400$1400 per hundred, which we can write as $14$14, not as $1.4$1, point, 4.

Hint #11 / 4

The caterpillar's birth mass is $\maroonD{m}$start color #ca337c, m, end color #ca337c grams. It eats $1400\%$1400, percent of its birth mass in one day.

So the caterpillar eats $\greenD{1400\% \cdot m}$start color #1fab54, 1400, percent, dot, m, end color #1fab54 grams of food in one day.

Hint #22 / 4

Because $1400\%$1400, percent means $1400$1400 per hundred, we can write it in equivalent forms.

$\begin{aligned} 1400\%&=\dfrac{1400}{100}\\\\ &=14 \end{aligned}$

Hint #33 / 4

Let's find equivalent ways of writing the amount the caterpillar eats.

$\begin{aligned} \blueD{1400\%} \cdot m&=\blueD{14} m\\\\ &=\blueD{\dfrac{1400}{100}} m \end{aligned}$

Hint #44 / 4

The expressions $14m$14, m and $\dfrac{1400}{100}m$start fraction, 1400, divided by, 100, end fraction, m each could represent the amount of food, in grams, the caterpillar eats in one day.