Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Miles's Internet service provider lets him use up to 1,229 gigabytes of data in a month and charges him an additional fee if he goes over the data limit. If Miles already used 984 gigabytes of data this month, which of the following represents 
d, the amount of data, in gigabytes, he can use in the rest of the month without incurring an additional fee?
Choose 1 answer:
(A) 
d <= 245
(B) 
d >= 245
(c) 
d <= 2,213
(D) 
d >= 2,213

Miles's Internet service provider lets him use up to 11,229229 gigabytes of data in a month and charges him an additional fee if he goes over the data limit. If Miles already used 984984 gigabytes of data this month, which of the following represents d d , the amount of data, in gigabytes, he can use in the rest of the month without incurring an additional fee?\newlineChoose 11 answer:\newline(A) d245 d \leq 245 \newline(B) d245 d \geq 245 \newline(C) d2,213 d \leq 2,213 \newline(D) d2,213 d \geq 2,213

Full solution

Q. Miles's Internet service provider lets him use up to 11,229229 gigabytes of data in a month and charges him an additional fee if he goes over the data limit. If Miles already used 984984 gigabytes of data this month, which of the following represents d d , the amount of data, in gigabytes, he can use in the rest of the month without incurring an additional fee?\newlineChoose 11 answer:\newline(A) d245 d \leq 245 \newline(B) d245 d \geq 245 \newline(C) d2,213 d \leq 2,213 \newline(D) d2,213 d \geq 2,213
  1. Identify data allowance: Identify the total data allowance and the data already used.\newlineMiles has a total data allowance of 1,2291,229 gigabytes for the month. He has already used 984984 gigabytes.
  2. Calculate remaining allowance: Calculate the remaining data allowance.\newlineTo find out how much data Miles can still use without an additional fee, subtract the amount of data already used from the total data allowance.\newlineRemaining data allowance =Total data allowanceData used= \text{Total data allowance} - \text{Data used}\newlineRemaining data allowance =1,229 gigabytes984 gigabytes= 1,229 \text{ gigabytes} - 984 \text{ gigabytes}
  3. Perform subtraction: Perform the subtraction to find the remaining data allowance.\newlineRemaining data allowance = 1,2291,229 gigabytes - 984984 gigabytes\newlineRemaining data allowance = 245245 gigabytes
  4. Write inequality: Write the inequality that represents the amount of data Miles can use without incurring an additional fee.\newlineSince Miles can use up to 245245 gigabytes more without an additional fee, the inequality is:\newlined245d \leq 245\newlineThis means that the amount of data dd that Miles can use for the rest of the month must be less than or equal to 245245 gigabytes.

More problems from Solve a system of equations using any method: word problems