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To make pancakes, 2 cups of batter r used to make 5 pancakes, 6 cups of batter r used to make 15 pancakes, & 8 cups of batter r used to make 20 pancakes. PART 1 [Part 2 below]?

PART 2! Show that the relationship between the number of cups of batter and the number of pancakes is a proportional relationship. Then write an equation for the relationship.

2 Answers

Jan 10, 2018

number of pancakes $= 2.5 \times$ $= 2.5 xx$ number of cups of batter

Explanation:

$\frac{5 pancakes}{2 cups of batter} \to \frac{2.5 pancakes}{cup}$ $(5" pancakes")/(2" cups of batter")rarr (2.5 " pancakes")/("cup")$

$\frac{15 pancakes}{6 cups of batter} \to \frac{2.5 pancakes}{cup}$ $(15" pancakes")/(6" cups of batter")rarr (2.5 " pancakes")/("cup")$

$\frac{20 pancakes}{8 cups of batter} \to \frac{2.5 pancakes}{cup}$ $(20" pancakes")/("8 cups of batter")rarr (2.5 " pancakes")/("cup")$

Note that the ratio of $pancakes : cups$ $"pancakes":"cups"$ remains a constant so we have a (direct) proportional relationship.

That relationship is
$XXX p = 2.5 \times c$ $color(white)("XXX")p=2.5 xx c$
where $p$ $p$ is the number of pancakes and $c$ $c$ is the number of cups of batter.

Jan 10, 2018

Relationship equation between number of pancakes and cups of batter required is $p = 2.5 \cdot b$ $p=2.5*b$

Explanation:

Let $b$ $b$ represents cups of batter and $p$ $p$ represents number of

pancakes. $p \propto b or p = k \cdot b or k = \frac{p}{b}; k$ $p prop b or p= k*b or k = p/b ; k$ is constant of

proportionality. $p= 5 , b=2 :.k= p/b=5/2=2.5$

$:. p=2.5*b$ is the relationship between $p and b$ .

It holds good also when $p= 15 , b=6 :.k= p/b=15/6=2.5$

and for $p= 20 , b=8 :.k= p/b=20/8=2.5$ . Therefore

relationship equation between number of pancakes and cups of

batter required is $p=2.5*b$ [Ans]

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