Question

Trees cost $25 each. Fertilizer costs $1.70 per pound. Kala needs to purchase both trees and fertilizer. She has a gardening budget of $25. The inequality that represents this scenario is 25≥ 25x+1.70y , where x represents the number of trees Kala buys and y represents the pounds of fertilizer she buys.

This situation has _[blank_A]_ because _[blank_B]_.

Which answer contains the phrases that correctly fill in blank A and blank B, in that order, to make the previous sentence a true statement?
A. no solution; at least 1 tree, [infinity], and 1 pound of fertilizer, y, needs to be purchased, and this would cost more than the $25 budget
B. the solution (1,0); Kala could purchase 1 tree within her gardening budget
C. no solution; the coefficient of y is less than the coefficient of x
d. many solutions, as long as the values of [infinity] and y are both less than 1; 25x+1.70y needs to be less than 25

Answer 1

The situation has no solution because at least 1 tree and 1 pound of fertilizer need to be purchased, which would cost more than the $25 budget, option A.

Step-by-step explanation:

The situation has no solution because at least 1 tree, [infinity] and 1 pound of fertilizer, y, need to be purchased, and this would cost more than the $25 budget.

The inequality 25≥ 25x+1.70y means that the total cost of the trees and fertilizer cannot exceed $25.

Since the cost of each tree is $25, purchasing even just one tree would exceed the budget.

Therefore, Kala is unable to make any purchase that satisfies this situation within her budget.