Which situation represents a proportional relationship?Question 4 options:A. The cost of purchasing a basket of apples for $1.25 per pound plus $5.00 for the basketB. The cost of purchasing bananas for $5.00 per box of bananas with the delivery charge of $3.00C. The cost of purchasing limes for $ 0.65 per pound with a coupon for $1.00 off the total costD. The cost of purchasing avocados for $1.75 per pound plus a shipping fee of $0.16 per pound.

Answer:D. The cost of purchasing avocados for $1.75 per pound plus a shipping fee of $0.16 per pound.Step-by-step explanation:A linear relationship is of the form [tex]y=mx+b[/tex], where, [tex]m[/tex] is the unit rate and [tex]b[/tex] is the fixed value (constant).For a proportional relationship, the value of [tex]b=0[/tex] and thus it is of the form [tex]y=mx[/tex]Let us check each option and express it in the form above.Option A:Given:Unit rate of purchasing a basket of apples, [tex]m=\$ 1.25[/tex]Fixed price for the basket, [tex]b=\$ 5[/tex]Since, [tex]b \ne 0[/tex], therefore, it is not a proportional relationship.Option B:Given:Unit rate of purchasing a banana, [tex]m=\$ 5[/tex]Fixed price for the box, [tex]b=\$ 3[/tex]Since, [tex]b \ne 0[/tex], therefore, it is not a proportional relationship.Option C:Given:Unit rate of purchasing a lime, [tex]m=\$ 0.65[/tex]Discount from total cost, [tex]b=\$ 1[/tex]Since, [tex]b \ne 0[/tex], therefore, it is not a proportional relationship.Option D:Given:Unit rate of purchasing an avocado = [tex]\$ 1.75[/tex]Unit rate of shipping = [tex] \$ 0.16[/tex]Therefore, total cost per pound is the sum of the unit rates of purchasing and shipping. So,Total cost of avocados per pound, [tex]m=1.75+0.16=\$ 1.91[/tex]There is no fixed cost on this. So, [tex]b=0[/tex]Since, [tex]b = 0[/tex], therefore, it is a proportional relationship.Therefore, the correct option is D.