proportional relationships quick check
question 1: 4 to 3, 4:3, 3/4
question 2: 5/1 = 1/20
question 3: 15/45 = 5/x
question 4: 2.5/10 = 12/48
question 5: 16/8 = 24/12, 8/4 = 12/6
I got 5/5 so these are all 100% right love ya all muah.
Proportional relationships exist when two quantities change in a consistent ratio. This means that as one quantity increases or decreases, the other quantity also increases or decreases with a corresponding ratio.
To determine if two quantities have a proportional relationship, you can:
1. Create a table: Calculate the ratio of the two quantities for different values and see if the ratios are equal. If the ratios are always the same, then the relationship is proportional.
2. Graph the points: Plot the values of one quantity on the x-axis and the values of the other quantity on the y-axis. If the points fall on a straight line that passes through the origin (0,0), then the relationship is proportional.
3. Use algebra: Write the relationship between the two quantities as an equation. If the equation can be written in the form y = kx, where k is a constant, then the relationship is proportional.
If any of these methods confirm a proportional relationship, then the two quantities are proportional to each other.