Insufficient dimensions are given to compute an exact volume of each geometry, so we have to assume that the volume is proportional to the product of base area and height. Then the relative volumes will be ...

bottle X: (6 in)(2 in)(1 in) = 12 in^3

bottle Y: (4 in)(3 in)(1.5 in) = 18 in^3

3rd bottle: (3 in)(6 in^2) = 18 in^3

That is, the relative volumes are ...

X : Y : 3rd = 12 : 18 : 18 = 1 : 1.5 : 1.5

The corresponding relative prices are ...

X : Y : 3rd = 9.96 : 14.40 : 13:20 = 1 : 1.446 : 1.325

A. Bottle Y has 1.5 times as much lotion as Bottle X.

B. Bottle Y is a better buy than Bottle X. (The price relative to X is less than the volume relative to X.)

C. The 3rd bottle is the best buy. For the same volume, the price of the 3rd bottle is less than that of Bottle Y.

_____

Note that the relative volume and price ratios are found by dividing all the numbers in the ratio sequence by the first number:

12 : 18 : 18 = (12/12) : (18/12) : (18/12)

9.96 : 14.40 : 13.20 = (9.96/9.96) : (14.40/9.96) : (13.20/9.96)

7 0

2 years ago

Ana sketched the graphs of f(x)=x^2and g(x)=x^2-6 as shown below. Did she graph both of the functions correctly? Explain how you

Ksivusya [100]

Answer:

No. See below.

Step-by-step explanation:

Note that the term x^2 is common to both functions. g(x) has the same graph as does f(x), except that the graph of g(x) is that of f(x) translated 6 units DOWNward. Ana mistakenly translated the graph of f(x) UPward.

8 0

3 years ago