A.11
Step-by-step explanation:
Here apply the interpolation formula to find the value of y
From the table, you can interpolate the value of y where x is 92 by using the points (91,10) and (98,15)
The formula to apply is;
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} *(x-x_1)[/tex]
where
(x₁,y₁)=(91,10)
(x₂,y₂)=(98,15)
(x,y)=(92,?)
Substitute values in the equation;
[tex]y-10=\frac{15-10}{98-91} *(92-91)\\\\y-10=\frac{5}{7} *(1)\\\\7(y-10)=5\\7y-70=5\\7y=5+70\\\\7y=75\\\\y=75/7=10.71\\\\y=11[/tex]
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