Question

5p + 3 = 15Write a situation that this equation could help you solve and explain how each part of the equation relates to the situation you create.

Answer 1

Hello! We can see this equation as a function like f(x) = 5x + 3 = 15

Let's think about a problem...

For example, we have a taxi that charges $5 per kilometer + a flat fee of $3.

So, we can write it as a function:

f(x) = 5x + 3

Look that x = kilometers, so this value will grow according to the amount, right?

Knowing that, let's go back to your equation, but thinking in the taxi:

5p + 3 = 15

We can say that the final price of this race was $15, but we don't know how many kilometers were covered. So, we can solve this equation and find the value of p (kilometers). Let's do it?

5p + 3 = 15

5p = 15 - 3

5p = 12

p = 12/5

p = 2.40

Now, we know that the taxi covered 2.4 km charging a fee of r$ 5 per kilometer.