Use the equation [tex]f(s) = 8s + 15[/tex] to evaluate the function at each given value of \( s \). Explain what each result means in terms of the problem.
Answer (3)
Well, the function is an equation used to find slope, called slope-intercept form: y=mx+b f(s) being y, 8 being the slope or m, s being the x coordinate, and 15 being b or the y-intercept.
To evaluate the function f(s) = 8s + 15, substitute each given value for s and calculate the result. The outputs for s=7, 100, 11, 0, and 2.5 are 71, 815, 103, 15, and 35, respectively, and they represent the function's output for each input value.
To evaluate the function f(s) = 8s + 15 at each given value, simply replace the variable s with the specified value and perform the arithmetic operation.
f(7) would be calculated as 8(7) + 15, which equals 56 + 15, giving us a result of 71.
f(100) is 8(100) + 15, which equals 800 + 15, resulting in 815.
f(11) is computed as 8(11) + 15, which is 88 + 15, totaling 103.
f(0) is simply 8(0) + 15, and since 8 times 0 is 0, we are left with just 15.
f(2.5) is 8(2.5) + 15, where 8 times 2.5 is 20, so we add 15 to get a total of 35.
Each evaluation of the function represents the output value of f(s) when s is replaced with the given input. This output value could represent anything depending on the context of the problem, such as the cost of an item, the number of points a team scores, etc.
To evaluate the function f ( s ) = 8 s + 15 , substitute the given values for s and perform the calculations to find outputs. For instance, f ( 7 ) = 71 , f ( 100 ) = 815 , along with others illustrate how the function can represent various values based on the input. Each result could indicate points, costs, or other relevant quantities depending on context.
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