How can you use a rate to compare the costs of two boxes of cereal that are different sizes?

Let's say you had two boxes of cereal labeled A and B. Also let's come up with a hypothetical situation that...

The question is: which is the better deal? By that I mean which is cheaper per ounce.

For box A, we have this ratio

2 dollars : 10 ounces

If we divide both sides by 10, then we end up with

2/10 dollars : 10/10 ounces

0.20 dollars : 1 ounce

20 cents : 1 ounce

This tells us that the unit rate for box A is 20 cents per ounce. In other words, 1 ounce costs 20 cents or each ounce costs 20 cents.

Do a similar thing for box B

3 dollars : 20 ounces

3/20 dollars : 20/20 ounces

0.15 dollars : 1 ounce

15 cents : 1 ounce

So box B costs 15 cents per ounce

In summary,

Box A's unit rate is 20 cents per ounce

Box B's unit rate is 15 cents per ounce

Box B is the better deal since it's 5 cents cheaper per ounce.

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b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.