Which situation represents a proportional relationship?
a. the cost of purchasing a basket of apples for $1.25 per pound plus $5.00 for the basket

b. the cost of purchasing bananas for $5.00 per box of bananas with the delivery charge of $3.00

c. the cost of purchasing limes for $ 0.65 per pound with a coupon for $1.00 off the total cost

d. the cost of purchasing avocados for $1.75 per pound plus a shipping fee of $0.16 per pound.

The situation that represent a proportional relationship is The cost of purchasing avocados for $1.75 per pound plus a shipping fee of $0.16 per pound.

Two variables are said to be proportional if an increase in one variable leads to an increase in the other variable and vice versa.

A proportional relationship is of the form:

y = kx;

where y and x are variables and k is a constant of proportionality

The situation that represent a proportional relationship is The cost of purchasing avocados for $1.75 per pound plus a shipping fee of $0.16 per pound.

Let y represent the cost of purchasing x pounds of avocado, hence:

y = 1.75x + 0.16x = 1.91x

y = 1.91x

This is in the form y = kx.

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D

Step-by-step explanation:

A proportional relationship is defined by a linear equation whose y-intercept is zero.

Thus, we immediately reject answers A, B, and C because all involve a non-zero y-intercept.

D is the correct answer. We combine the unit cost $1.75/lb with the shipping fee $0.16/lb, obtaining a unit cost of $1.91/lb.  The desired linear equation with zero y-intercept is then

C(x) = ($1.91/lb)x, where x is the number of pounds of avocados sold.

5+2x=a

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answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.