Question

1. samir and jillian share a phone plan. each month they can use a combined total of up to 8 gb of data. so far this month, samir has used 4.23 gb and jillian has used 2.80 gb. they want to know whether they still have data left to use.

a. find the sum of samir’s and jillian’s data.
compare that amount to 8 gb.
b. an exact calculation is not necessary to solve the problem.
how can you estimate the sum by rounding the addends?
c. round each person’s data to the nearest gigabyte.
samir: ____ gb
jillian: ____ gb

Explanation:

Step1: Calculate total used data

$4.23 + 2.89 = 7.12$ GB

Step2: Compare to 8 GB limit

$7.12 < 8$

Step3: Round Samir's data

$4.23 \approx 4$ GB (nearest gigabyte)

Step4: Round Jillian's data

$2.89 \approx 3$ GB (nearest gigabyte)

Step5: Estimate total used data

$4 + 3 = 7$ GB, $7 < 8$

Answer:

1. Total used data: 7.12 GB
2. 7.12 GB is less than 8 GB, so they have data left.
3. Rounded data:

Samir: 4 GB
Jillian: 3 GB

1. Estimated total: 7 GB, which confirms they have remaining data.