Mathematics, 03.06.2021 14:00 rlymyaa15

assume that a consumer has a given budget or income of $12 and that she can buy only two goods, apples or bananas. The price of an apple is $1.50 and the price of a banana is $0.75. What is the slope of the budget line if the quantity of apples were measured on the horizontal axis and the bananas on the vertical axis?

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Answer from: schapethan

-2

Step-by-step explanation:

The equation of a straight line is given by:

y = mx + b

where y is the variable on the vertical axis, x is the variable on the horizontal axis, m is the slope of the line = change in vertical axis / change in horizontal axis, b is the y intercept.

Given that the quantity of apples were measured on the horizontal axis and the bananas on the vertical axis. Therefore let y represent the quantity of bananas and x represent the quantity of apples. The price of banana is $0.75 while that of apple is $1.50, Hence:

0.75y + 1.5x = 12

0.75y = -1.5x + 12

y = -2x + 16

Hence comparing with y = mx + b, the slope of the budget line is -2

Answer from: Quest

no association

step-by-step explanation:

if you have eyes and you can use them efficiently you can see that it just looks like random dots like do a line of best fit and like they're so spread out it's such a weak association you might as well consider it nonexistent

Which statement best describes the association between variable x and variable y? perfect negative

Answer from: Quest

a. geometricb. g[h] = (3/4)·g[h-1]; g[1] = 384c. g[h] = 384·(3/4)^(h-1)d. g[12] ≈ 16.2183 gallonse. g[12] ≈ 64.8732 quarts

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt

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assume that a consumer has a given budget or income of $12 and that she can buy only two goods, appl...