Question

Brian is buying fancy fishing lures for an upcoming tournament. Spinner baits, S, cost $4 each, and river bugs, R, cost $2 each. Brian wants to buy some of each lure and spend no more than $45. Which inequality models this situation?

A) 4S + 2R ≤ 45
B) 4S + 2R ≥ 45
C) 4S + 2R < 45
D) 4S + 2R > 45

Answer 1

A) 4S + 2R ≤ 45

Explanation:

S represents the number of spinner baits purchased by Brian.

R represents the number of river bugs purchased by Brian.

Per unit cost of spinner baits = $4

Total cost of spinner baits = 4 * S

Per unit cost of river bugs = $2

Total cost of river bugs = 2 * R

So the total combined cost of fishing lures is \[4S + 2R\]

This cost should be less than or equal to $45.

This means, \[4S + 2R <= 45\]

So A is the required correct option.

Answer 2

A) 4S + 2R ≤ 45

Step-by-step explanation:

The keyword[s] more than, indicates that the maximum amount Brian will pay will be somewhere between the lowest he can pay and $45. There IS a range of purchase, so we choose the less than or equal to inequality.

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