Question

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?

a. 1,229−984
b. 984−1,229
c. 1,229+984
d. 1,229×984

Answer 1

The amount of data Miles can use for the rest of the month without an additional fee is calculated by subtracting the gigabytes already used from his total monthly allowance, which is represented by the equation (option d) = 1,229 - 984.

Step-by-step explanation:

The question relates to calculating the remaining data allowance for Miles's internet service. Miles's data cap with his internet service provider (ISP) is 1,229 gigabytes per month. So far, he has used 984 gigabytes. To find out how much data (d) he can use for the rest of the month without an additional fee, we need to subtract the gigabytes he has already used from his total monthly allowance. Therefore, the correct representation is:

d = 1,229 - 984

Subtracting the gigabytes used from the total allowance is an example of a simple arithmetic operation. The other options provided in the question include incorrect operations such as subtraction that would give a negative amount of data (which doesn't make sense in this context), addition, which would exceed the data cap, and multiplication, which is unrelated to calculating the remaining data allowance.

Answer 2

To find the amount of data, subtract Miles's data usage from the data limit. The correct representation is option a.

Step-by-step explanation:

To find the amount of data, in gigabytes, that Miles can use in the rest of the month without incurring an additional fee, we need to subtract the amount of data Miles has already used from the data limit set by his internet service provider.

d = Limit - Miles's data usage

d = 1,229 - 984

d = 245

Therefore, the correct representation for the amount of data, in gigabytes, that Miles can use in the rest of the month without incurring an additional fee is 245 gigabytes (option a).