EAch set of ordered pairs represents a function. Write a rule that represents the function (2,10),(4,20),(5,25),(7,35),(9,45)
y=5x
C is more than half of n
(0,0), (1,6), (2,24), (3,54), (4,96)
To determine the rule that represents the given function, you need to identify the relationship between the input (x-values) and the output (y-values). In this case, we can observe that the y-values are obtained by multiplying the corresponding x-values by a constant factor and adding 5.
Let's break it down step by step:
Step 1: Identify the constant factor.
To find the constant factor, we can compare any pair of x and y values. Let's take the pair (2, 10) as an example. We know that the y-value is obtained by multiplying the x-value by a constant factor and adding 5. Therefore, we can set up the equation 2 * constant factor + 5 = 10.
Simplifying this equation, we get: 2 * constant factor = 10 - 5 = 5.
Dividing both sides by 2, we find that the constant factor is 5/2 or 2.5.
Step 2: Write the rule.
Now that we have identified the constant factor, we can write the rule that represents the function. Based on the pattern observed, the rule can be expressed as:
y = 2.5x + 5.
Therefore, the rule representing the given function is y = 2.5x + 5.