Question

Please answer these few questions; Would be a big help :)

1.) What is a Proportional Relationship and give an example?
2.) What does a graph look like if there is a proportional relationship?
3.) Can you find the constant of proportionality when given a situation?
4.) Can you provide an example of equations when you are given a constant of proportionality?
5.) What is a Unit Rate?
6.) How do you use the unit rate in the real world?

Answer 1

this is the first questionn.

I hope this honestly helped . if not tell me your question in details thank you.

Explanation:

Example: “Yesterday, I put 10 gallons of gas in my car and I paid $30. A couple hours after, I went back to the gas station with my dad’s car and after filling up the tank, I paid $18. How many gallons of gas did I put in my dad’s car?”

In order to solve this problem, first we’ll have to figure out the proportionality ratio between the gallons I put in my car and the amount I paid.

$30 ÷ 10 gallons = $3/gallon ($ per gallon)

After, once we know that the ratio is $3/gallon, we need to calculate how many gallons we can put in the tank with $18.

$18 ÷ $3/gallon = 6 gallons

So then, the second time I went to the gas station, I filled my dad’s car with 6 gallons of gas.

This situation illustrates a clear example of proportional relationships where the quantities of the first fill up are proportional to the ones of the second fill up; the quotient that comes from dividing both of them is the same in both cases: it’s the ratio:

I hope that you can start to see everyday “ratio and proportion” phenomena with the help of this post.

Answer 2

this is the first questionn.

I hope this honestly helped . if not tell me your question in details thank you.

Explanation:

Example: “Yesterday, I put 10 gallons of gas in my car and I paid $30. A couple hours after, I went back to the gas station with my dad’s car and after filling up the tank, I paid $18. How many gallons of gas did I put in my dad’s car?”

In order to solve this problem, first we’ll have to figure out the proportionality ratio between the gallons I put in my car and the amount I paid.

$30 ÷ 10 gallons = $3/gallon ($ per gallon)

After, once we know that the ratio is $3/gallon, we need to calculate how many gallons we can put in the tank with $18.

$18 ÷ $3/gallon = 6 gallons

So then, the second time I went to the gas station, I filled my dad’s car with 6 gallons of gas.

This situation illustrates a clear example of proportional relationships where the quantities of the first fill up are proportional to the ones of the second fill up; the quotient that comes from dividing both of them is the same in both cases: it’s the ratio:

I hope that you can start to see everyday “ratio and proportion” phenomena with the help of this post.