Question

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.
Answer
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

Question

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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.