Under her cell phone plan, Ella pays a flat cost of $49 per month and $5 per gigabyte. She wants to keep her bill under $60 per month. Write and solve an inequality which can be used to determine gg, the number of gigabytes Ella can use while staying within her budget.

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Attempt 1 out of 2


Inequality:
gg

Answer 1

To determine how many gigabytes \( g \) Ella can use while keeping her monthly bill under $60, we can set up the following inequality based on her cell phone plan:

1. The flat cost is $49.
2. The cost per gigabyte is $5.
3. Her total bill must be less than $60.

The total cost of her plan can be expressed as: \[ \text{Total Cost} = 49 + 5g \]

To stay within her budget, we can write the inequality: \[ 49 + 5g < 60 \]

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

1. Subtract 49 from both sides: \[ 5g < 60 - 49 \] \[ 5g < 11 \]

2. Divide both sides by 5: \[ g < \frac{11}{5} \] \[ g < 2.2 \]

Since \( g \) represents the number of gigabytes, it must be a whole number. Therefore, Ella can use a maximum of \( 2 \) gigabytes (since she cannot use a fraction of a gigabyte).

Thus, the complete answer is:

Inequality: \[ 49 + 5g < 60 \]

Solution: Ella can use a maximum of \( g = 2 \) gigabytes while staying within her budget.

Answer 2

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A rental car company charges $48 per day to rent a car and $0.08 for every mile driven. Bilquis wants to rent a car, knowing that:
She plans to drive 175 miles.
She has at most $110 to spend.

Write and solve an inequality which can be used to determine xx, the number of days Bilquis can afford to rent while staying within her budget.

Answer 3

To find out how many days \( x \) Bilquis can afford to rent a car while staying within her budget, we can set up an inequality based on the rental car company's charges:

1. The daily rental cost is $48 per day.
2. The cost for driving miles is $0.08 per mile.
3. She plans to drive 175 miles.
4. Her total budget is at most $110.

First, we calculate the total cost for driving 175 miles: \[ \text{Cost for miles} = 0.08 \times 175 \] Calculating this: \[ 0.08 \times 175 = 14 \]

Now, we can write the total cost \( C \) for renting the car for \( x \) days: \[ C = 48x + 14 \]

We want this total cost to be less than or equal to $110: \[ 48x + 14 \leq 110 \]

Now, we will solve this inequality for \( x \):

1. Subtract 14 from both sides: \[ 48x \leq 110 - 14 \] \[ 48x \leq 96 \]

2. Divide both sides by 48: \[ x \leq \frac{96}{48} \] \[ x \leq 2 \]

Thus, the complete answer is:

Inequality: \[ 48x + 14 \leq 110 \]

Solution: Bilquis can afford to rent the car for a maximum of \( x = 2 \) days while staying within her budget.