Question

under her cell phone plan, emma pays a flat cost of $66 per month and $4 per gigabyte. she wants to keep her bill at $74.80 per month. which equation or tape diagram could be used to represent the context if g represents the number of gigabytes of data emma can use while staying within her budget? a b $$ g = \frac { 66 - 74.8 } { 4 } $$ c d $$ 74.8 = 4 ( 66 + g ) $$ answer attempt 1 out of 2

Explanation:

Step1: Analyze the cost structure

The flat - cost is $66$ and the cost per gigabyte is $4$. The total bill is $74.8$. The total cost is the sum of the flat - cost and the cost for the data used. So the equation should be \(66 + 4g=74.8\).
The tape - diagram in option A shows a part of $66$ (the flat - cost) and $g$ parts of $4$ (the cost per gigabyte) that together sum up to $74.8$.

Step2: Check other options

• Option B: \(g=\frac{66 - 74.8}{4}\) is incorrect. The correct formula from \(66 + 4g=74.8\) is \(g=\frac{74.8 - 66}{4}\).
• Option C: The tape - diagram has the wrong assignment of values (flat - cost and per - gigabyte cost are swapped in the structure).
• Option D: \(74.8 = 4(66 + g)\) is incorrect. Expanding \(4(66 + g)=264+4g

eq74.8\)

Answer:

A.