In your journal, you made up an inequality and solved it. You also brainstormed what it would look like to communicate your solution clearly if your inequality represented a real-world problem. In your first post, share your inequality and solution with your peers. Then ask your peers if they can come up with a real-world problem that could be solved using your inequality.

Question

In your journal, you made up an inequality and solved it. You also brainstormed what it would look like to communicate your solution clearly if your inequality represented a real-world problem. In your first post, share your inequality and solution with your peers. Then ask your peers if they can come up with a real-world problem that could be solved using your inequality.

Answer 1

Inequality: 5x + 3 > 10

Solution:

To solve this inequality, we need to isolate the variable x.

Starting with 5x + 3 > 10, we can subtract 3 from both sides:

5x + 3 - 3 > 10 - 3

Simplifying, we get:

5x > 7

To isolate x, we divide both sides of the inequality by 5:

5x/5 > 7/5

Simplifying further, we have:

x > 7/5

So the solution to the inequality 5x + 3 > 10 is x > 7/5.

Now, I would like to ask my peers if they can come up with a real-world problem that could be solved using this inequality.

Answer 2

can you make a real world problem using this inequality

Answer 3

Certainly! Here's a real-world problem that can be solved using the inequality x > 7/5:

Problem: A car rental company charges a daily flat rate of $30 plus $5 per mile driven. You want to determine the maximum number of miles you can drive in a day while still keeping the total cost under $50.

Solution:

Let x represent the number of miles driven in a day.

The cost in dollars (C) can be calculated using the equation C = 30 + 5x.

We want to find the maximum number of miles (x) that satisfies the inequality 30 + 5x < 50.

To determine the maximum number of miles, we can solve the inequality:

30 + 5x < 50

Subtracting 30 from both sides:

5x < 20

Dividing both sides by 5:

x < 4

Therefore, the maximum number of miles you can drive in a day while keeping the total cost under $50 is x < 4.

Answer 4

I am saving up to by a car and I have 1,000 dollars but I need at least 22,000. I am 13 years old so that means I have 3 years to save money. The inequality would be 1,000 + 3x >= 22,000. After I solved the inequality I got 7,000. So that means in order for me to have enough money to buy the car I have to save 7,000 dollars each year for 3 years. I could use a number line to show my answer. what is another way to solve this

Answer 5

Great job on coming up with a real-world problem and solving it using the inequality! Saving $7,000 each year for 3 years would indeed help you reach your goal of $22,000.

Another way to solve this problem is by writing and solving the equation rather than an inequality. Here's how you can do it:

Let's represent the amount of money you save each year as "s". Since we have 3 years, the total amount of money saved in 3 years can be represented as 3s. This needs to be equal to or greater than $22,000.

So, the equation would be: 3s >= 22,000

To solve this equation, we divide both sides by 3 to isolate "s":

3s/3 >= 22,000/3

Simplifying it further, we get:

s >= 7,333.33

This means that you need to save at least $7,333.33 each year for 3 years in order to reach your goal of $22,000.

Using a number line to show your progress is an excellent idea! You can break down each year into smaller units (such as months) and mark your progress on the number line as you save money towards your goal.