aaliyahmiller61705 aaliyahmiller61705
  • 13-11-2020
  • Mathematics
contestada

Given the function defined in the table below, find the average rate of change, in simplest form, or the function over the interval 20

Given the function defined in the table below find the average rate of change in simplest form or the function over the interval 20 class=

Respuesta :

eudora eudora
  • 20-11-2020

Answer:

Average rate of change = 0.4

Step-by-step explanation:

Average rate of change of a function in the interval [a, b] is defined by the formula,

Rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

From the table attached,

Rate of change of the function in the interval 20 ≤ x ≤ 40 will be

= [tex]\frac{f(40)-f(20)}{40-20}[/tex]

= [tex]\frac{24-16}{40-20}[/tex]

= [tex]\frac{8}{20}[/tex]

= [tex]\frac{2}{5}[/tex]

= 0.4

Therefore, average rate change of the function in the given interval 20 ≤ x ≤ 40 is = 0.4

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