The formula for the linear function which is passing the points (0, 5) and (1, 20) is f(x) = 15x + 5.
According to the given question.
The linear form of the function is
f(x) = mx + b
Also, the function is passing through the points (0, 5) and (1, 20).
So, the given points (0, 5) and (1, 20) must satisfy f(x) = mx + b.
Now,
At (0, 5)
f(0) = m(0) + b
⇒ 5 = 0 + b
⇒ b = 5 ..(i)
Also,
at (1, 20)
f(1) = m(1) + b
⇒ 20 = m + 5 (from i)
⇒ m = 20 - 5
⇒ m = 15
Therefore, the formula for the linear function which is passing the points (0, 5) and (1, 20) is given by
f(x) = 15(x) + 5 (on substituting the vale of m and b in f(x) = mx + b).
⇒ f(x) = 15x + 5
Hemce, the formula of the function is f(x) = 15x + 5.
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brainly.com/question/21107621
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