ACT Math · Function notation and transformations

A cell phone plan charges 30 per month for up to 5 GB of data, plus 10 per additional GB beyond 5 GB. What is the monthly cost for 8 GB of…

A cell phone plan charges $30 per month for up to 5 GB of data, plus $10 per additional GB beyond 5 GB. What is the monthly cost for 8 GB of data used?

Answer and explanation

Answer: J: $60

The plan includes 55 GB for $30. Using 88 GB means 8−5=38-5=3 additional GB, each costing $10, so the cost is 30+10(3)=6030+10(3)=60 dollars, choice J. Choice F ($40) charges for only 11 extra GB. Choice G ($50) charges for 22 extra GB. Choice H ($80) charges $10 for each of the 88 GB, ignoring the included data and the base charge. The extra rate applies only to data beyond the included 55 GB, so subtract before multiplying.

More Function notation and transformations questions

All Function notation and transformations questions

Learn the method behind questions like this one

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