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math homework: proportional relationships as equations 1. three candy b…

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math homework: proportional relationships as equations

  1. three candy bars contain 12 kit kat strips. which equation represents the relationship between candy bars (c) and strips (s)

(a) $s = 3c$
(b) $s = \frac{1}{4}c$
(c) $s = 4c$
(d) $s = 12c$

  1. jada is shopping with her mom. they pay $2 per pound for tomatoes at the vegetable stand. which equation represents the situation for \t\ tomatoes and \c\ cost?

(a) $c = 2t$
(b) $t = 2c$
(c) $c = t^2$
(d) $t = c + 2$

  1. it costs $5 to send 6 packages through a certain shipping company. which equation best represents the relationship for \p\ packages and \c\ cost?

(a) $c = 11p$
(b) $c = 0.83p$
(c) $c = 1.2p$
(d) $c = 1p$

mr. pope is making cookies. for every 3 cups of flour that he uses, he uses 2 cups of sugar. how many cups of sugar does mr. pope need for one cup of flour?
a) 6 cups
b) $1\frac{1}{2}$ cups
c) $\frac{2}{3}$ cups
d) 1 cup

Explanation:

Step1: Find strips per candy bar

$\frac{12}{3}=4$

Step2: Match to equation

$s=4c$
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Step1: Define cost relationship

Cost = Price × Pounds, so $c=2t$
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Step1: Find cost per package

$\frac{5}{6}\approx0.83$

Step2: Match to equation

$c=0.83p$
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Step1: Find sugar per flour cup

$\frac{2}{3}$

Step2: Match to option

$\frac{2}{3}$ cups

Answer:

  1. (c) $s = 4c$
  2. (a) $c = 2t$
  3. (b) $c = 0.83p$
  4. (c) $\frac{2}{3}$ cups