Question

under his cell phone plan, julian pays a flat cost of $52 per month and $3 per gigabyte. he wants to keep his bill at $58 per month. which tape diagram could be used to represent the context if g represents the number of gigabytes of data julian can use while staying within his budget?

Explanation:

Since the problem is about a cell phone plan with a flat cost and a cost per gigabyte, and we need to represent it with a tape diagram, we can first set up the equation.

Step 1: Define the cost components

The total cost is the flat cost plus the cost per gigabyte times the number of gigabytes. The flat cost is $52, the cost per gigabyte is $3, and the total budget is $58. So the equation is $52 + 3g = 58$.

Step 2: Interpret the tape diagram

A tape diagram for this situation would have one part representing the flat cost of $52, and then several (g) parts each representing $3 (the cost per gigabyte), and the total length of the tape would represent the total budget of $58.

So the tape diagram should show a segment of length 52, followed by g segments each of length 3, and the sum of all these segments is 58.

(Note: Since the question is about identifying the correct tape diagram, and without the actual diagram options, we can describe the correct one as above. If there were options, we would check which one has a part for 52, g parts for 3, and total 58.)

If we were to solve for g:

Step 1: Subtract 52 from both sides

$52 + 3g - 52 = 58 - 52$

$3g = 6$

Step 2: Divide both sides by 3

$\frac{3g}{3} = \frac{6}{3}$

$g = 2$

So Julian can use 2 gigabytes. And the correct tape diagram would reflect the flat cost of 52, 2 segments of 3, and total 58.

Answer:

Since the problem is about a cell phone plan with a flat cost and a cost per gigabyte, and we need to represent it with a tape diagram, we can first set up the equation.

Step 1: Define the cost components

The total cost is the flat cost plus the cost per gigabyte times the number of gigabytes. The flat cost is $52, the cost per gigabyte is $3, and the total budget is $58. So the equation is $52 + 3g = 58$.

Step 2: Interpret the tape diagram

A tape diagram for this situation would have one part representing the flat cost of $52, and then several (g) parts each representing $3 (the cost per gigabyte), and the total length of the tape would represent the total budget of $58.

So the tape diagram should show a segment of length 52, followed by g segments each of length 3, and the sum of all these segments is 58.

(Note: Since the question is about identifying the correct tape diagram, and without the actual diagram options, we can describe the correct one as above. If there were options, we would check which one has a part for 52, g parts for 3, and total 58.)

If we were to solve for g:

Step 1: Subtract 52 from both sides

$52 + 3g - 52 = 58 - 52$

$3g = 6$

Step 2: Divide both sides by 3

$\frac{3g}{3} = \frac{6}{3}$

$g = 2$

So Julian can use 2 gigabytes. And the correct tape diagram would reflect the flat cost of 52, 2 segments of 3, and total 58.