brainhelper22222 brainhelper22222
  • 22-09-2018
  • Mathematics
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Determine the value of f(2) that will lead to an average rate of change of 15 over the interval [2,6]. (HELP PLEASE)

Determine the value of f2 that will lead to an average rate of change of 15 over the interval 26 HELP PLEASE class=

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GoddessofDork
GoddessofDork GoddessofDork
  • 22-09-2018
  • Average Rate of Change/Slope Formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

So using points (6,71) and (2,y), and the slope of 15, plug them into the slope formula as such:

[tex]\frac{71-y}{6-2}=15[/tex]

From here we can solve for y. Firstly, solve the subtraction:

[tex]\frac{71-y}{4}=15[/tex]

Next, multiply both sides by 4:

[tex]71-y=60[/tex]

Next, subtact both sides by 71:

[tex]-y=-11[/tex]

Lastly, multiply both sides by -1, and your final answer will be [tex]y=11[/tex] , or A.

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