For what unit amount u is Plan A cheaper than Plan B? Plan A = 50 + 10u, Plan B = 30 + 15u.

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Multiple Choice

For what unit amount u is Plan A cheaper than Plan B? Plan A = 50 + 10u, Plan B = 30 + 15u.

Compare the two plans as functions of the same variable u: Plan A costs 50 + 10u, Plan B costs 30 + 15u. To find when Plan A is cheaper, set up the inequality 50 + 10u < 30 + 15u. Solve step by step: subtract 10u from both sides to get 50 < 30 + 5u; subtract 30 to get 20 < 5u; divide by 5 to obtain u > 4. This means Plan A is cheaper only when u is greater than 4. At u = 4, both plans cost 90, so they’re equal; for u < 4, Plan B is cheaper. Therefore, the condition that makes Plan A cheaper is u > 4.

Compare the two plans as functions of the same variable u: Plan A costs 50 + 10u, Plan B costs 30 + 15u. To find when Plan A is cheaper, set up the inequality 50 + 10u < 30 + 15u. Solve step by step: subtract 10u from both sides to get 50 < 30 + 5u; subtract 30 to get 20 < 5u; divide by 5 to obtain u > 4. This means Plan A is cheaper only when u is greater than 4. At u = 4, both plans cost 90, so they’re equal; for u < 4, Plan B is cheaper. Therefore, the condition that makes Plan A cheaper is u > 4.

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