Function y = 7x + 9 has the greater rate of change with the rate of change equal to 7 compared to other functions.
Given that,
Two functions are given one in the form of an equation i.e.
y = 7x +9
and another function is in tabulated form i.e.
x = 0 5 7
y = 3 18 24
Which function has the greater rate of change is to be determined.
<h3>What are functions?</h3>
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
y = 7x +9
Since the slope of the equation represents the rate of change so slope of the above equation is M1 = 7
Now, the slope of the function given in the table,
M2 = (18 - 3) / (5 - 0)
M2 = 15 / 5
M2 = 3
Hence M2<M1, the rate of change of function y = 7x +9 is more than other functions.
Thus, function y = 7x + 9 has a greater rate of change with the rate of change equal to 7 compared to other functions.
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