the ordered pairs (1,5),(2,10),(3,15),(4,20),(5,25) represents a function. write a rule that represents this function.
First number increased by 1, second number increased by 5.
Sure, here's a rule that represents this function: "Multiply the first number by 5." This means that if you input any number into this function, it will multiply that number by 5 to give you the output value. So if you input 1, it will be 1 * 5 = 5. If you input 2, it will be 2 * 5 = 10, and so on.
To write a rule that represents this function, we can observe that the y-values are increasing by a constant factor of 5 for each x-value. This indicates a linear relationship.
The rule for this function can be written as:
y = 5x, where x is the input value (1, 2, 3, 4, 5) and y is the output value (5, 10, 15, 20, 25).
To determine the rule representing the given function, we need to look for a pattern in the ordered pairs. In this case, we can observe that the second number in each ordered pair is exactly five times the value of the first number.
Therefore, the rule for this function can be written as follows:
y = 5x
In this equation, x represents the first number in each ordered pair (the input) and y represents the second number in each ordered pair (the output). By substituting the value of x into this equation, we can find the corresponding value of y for any given x.