To compare, think of the ratios as a fraction. so it is 32 slices per $7.99.
You can also say $7.99 per 32 slices.
so it can be ̲7̲.̲9̲9̲ ̲ or the other way around.
32
To find the unit price, or the price of 1 item, you have to divide the price by the amount.
So 7.99 divided by 32 is <span>0.249687, but we don't have thousandths of a cent, so we round to the hundredth.
$0.25 is the unit price, or the price of 1 toast, rounded to the nearest cent.
So let's try another one, this time we have 2 different rates, and we will compare them.
So let's say we are buying cheese. Store A sells 12 blocks of cheese for $14.99, and Store B sells 20 blocks for $23.99.
So first we have to find the unit rate for each.
Store A Store B
14.99 per 12 23.99 per 20
</span> ̲1̲4̲.̲9̲9̲ ̲ ̲2̲3̲.̲9̲9̲ ̲<span>
12 20
14.99 / 12 is </span>1.24916 23.99 / 20 is <span>1.1995</span>
<span>$1.25, if rounded to the cent. $1.20, if rounded to the cent
</span>1 block is $1.25 in Store A. 1 block is $1.20 in Store B
Store B sells for cheaper.
Hope that helps.
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
- Terms/Coefficients/Degrees
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />
<u />
<u>Step 2: Simplify</u>
- Distribute:

- Multiply:

- Rearrange:

- Combine like terms:

First, I'd like to say that this question is flawed because the diameter of the spool changes as you pull the line out. Some would argue it's negligible I suppose.
At any rate, assuming there's a magic spool where the diameter doesn't change, let's find the cicumference so we can find the length of one wrap around the spool.
circumference = 2*pi*r = 2 * pi * 4cm = about 25.133 cm
Now if it turns 16 times we'll have 16 times the circumference.
16 * (25.133 cm)
= 402.128 cm
There asking for the equation, and the possible answers are
y = 2x + 6
y = −one halfx + 3
y = −one halfx + 6
y = 2x + 3