Question

check your understanding

1. kasey noticed that the distribution of candy bars in the variety bags of candy bars is always the same. there are three times as many twix bars as milky ways. there are 5 fewer snickers than there are twix.

a. determine the quantity of each candy in the small, medium, and large variety bags.

	twix	milky ways	snickers
medium	30
large			37

b. write an equation that relates the number of milky ways, m, and the number of snickers, s, for any variety bag.

1. while the u.s. measures temperature in degrees fahrenheit, much of the world uses the celsius scale. if c is the temperature in celsius and f is the temperature in fahrenheit, then c = \frac{5}{9}(f - 32).

a. if an american recipe states to preheat the oven to 425°f, how many degrees would this be in °c?
b. describe in words the relationship between a temperature given in °fahrenheit and its corresponding temperature in °celsius.

Explanation:

1.

Step1: Define variables

Let $M$ be number of Milky - Ways and $T$ be number of Twix and $S$ be number of Snickers. Given $T = 3M$ and $S=T - 5=3M - 5$.

Step2: Fill table for 1a

For small bag: If $M = 8$, then $T = 3\times8=24$ and $S=24 - 5 = 19$.
For medium bag: If $T = 30$, then $M=\frac{30}{3}=10$ and $S=30 - 5 = 25$.
For large bag: If $S = 37$, then $T=37 + 5=42$ and $M=\frac{42}{3}=14$.

Step1: Convert temperature for 2a

Given $C=\frac{5}{9}(F - 32)$, substitute $F = 425$ into the formula. $C=\frac{5}{9}(425 - 32)=\frac{5}{9}\times393=\frac{1965}{9}\approx218.33$.

Step2: Describe relationship for 2b

The Celsius temperature is five - ninths of the difference between the Fahrenheit temperature and 32.

Answer:

	Twix	Milky Ways	Snickers
Medium	30	10	25
Large	42	14	37

2.