Under her cell phone plan, Hawa pays a flat cost of $51.50 per month and $3 per gigabyte. She wants to keep her bill at $64.10 per month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Hawa can use while staying within her budget.

Question

Answer
Attempt 1 out of 2

Equation:

Answer: g =

Answer 1

To determine the number of gigabytes \( g \) that Hawa can use while staying within her budget, we can set up the following equation based on her cell phone plan.

The monthly cost \( C \) is given by:

\[ C = \text{flat cost} + \text{cost per gigabyte} \times \text{number of gigabytes} \]

In Hawa's case, this can be expressed as:

\[ C = 51.50 + 3g \]

We want her total cost \( C \) to be equal to $64.10, so we can set up the equation:

\[ 51.50 + 3g = 64.10 \]

Next, we can solve the equation for \( g \):

1. Subtract \( 51.50 \) from both sides:

\[ 3g = 64.10 - 51.50 \]

\[ 3g = 12.60 \]

2. Divide both sides by \( 3 \):

\[ g = \frac{12.60}{3} \]

\[ g = 4.20 \]

Since \( g \) represents the number of gigabytes, and it typically can't be a fraction in a real-world scenario, Hawa can afford to use 4 gigabytes while remaining within her budget.

Thus, Hawa should use:

Equation: \( 51.50 + 3g = 64.10 \)

Answer: \( g = 4 \) (after rounding down)

Answer 2

no

Answer 3

Let's solve it step-by-step again to find the correct number of gigabytes \( g \) that Hawa can use while staying within her budget.

We start with the equation based on her costs:

1. Flat cost: $51.50
2. Cost per gigabyte: $3
3. Total budget: $64.10

The equation for Hawa's monthly cost can be written as:

\[ C = 51.50 + 3g \]

We want her total cost \( C \) to be equal to $64.10:

\[ 51.50 + 3g = 64.10 \]

Now, we can solve for \( g \):

1. Subtract \( 51.50 \) from both sides:

\[ 3g = 64.10 - 51.50 \]

\[ 3g = 12.60 \]

2. Divide both sides by \( 3 \):

\[ g = \frac{12.60}{3} \]

\[ g = 4.20 \]

This means that Hawa can use up to 4.20 gigabytes. However, since most plans charge per whole gigabyte, you would generally round down to the nearest whole number. Hence, Hawa can use 4 gigabytes to stay safely within her budget of $64.10.

If you want to keep the fractional value, you can conclude that she can use up to 4.20 gigabytes, but practically, she should use 4 gigabytes to avoid exceeding her budget.

If you have any specific corrections or inputs on how to approach the problem differently, please let me know!