SAT Math · Linear inequalities in one or two variables · easy

A shipping company charges no more than 80 per package. The base fee is 15, plus $6.50 per pound. What is the maximum whole number of…

A shipping company charges no more than $80 per package. The base fee is $15, plus $6.50 per pound. What is the maximum whole number of pounds a package can weigh?

Answer and explanation

Answer: B: 10

The total charge for a package of ww pounds is 15+6.5w15 + 6.5w, and it must not exceed $80: 15+6.5w≤8015 + 6.5w \leq 80. Subtract 15: 6.5w≤656.5w \leq 65. Divide by 6.5: w≤10w \leq 10. The maximum whole number of pounds is 10, choice B, and the cost is exactly $80. Choice A (11) would cost $86.50, over the limit. Choice C (9) is allowed but is not the maximum. Choice D (13) results from forgetting the base fee: 806.5≈12.3\frac{80}{6.5} \approx 12.3, then rounding up. Include the base fee before dividing.

More Linear inequalities in one or two variables questions

All Linear inequalities in one or two variables questions

Learn the method behind questions like this one

The SAT Math course teaches each tested skill through lessons, step-by-step solutions to sample problems, the complete study guide and full-length practice tests.