Answer: D) [tex]y=-5(x-5)^2+1125[/tex]
Step-by-step explanation:
Let x be the number of $2 increases in price and y be the revenue.
By using the given table , lets check all the options
A) [tex]y=(x+5)^2-1125[/tex]
For x=1, y=1045
[tex]y=(1+5)^2-1125=36-1125=-1089\\\\But\ 1045\neq-1089[/tex]
B) [tex]y=(x-5)^2+1125[/tex]
For x=1, y=1045
[tex]y=(1-5)^2+1125=14+1125=1139\\\But\ 1045\neq1139[/tex]
C) [tex]y=-5(x+5)^2-1125[/tex]
[tex]y=-5(1+5)^2-1125=-5(36)-1125=-1305\\\\But\ 1045\neq-1305[/tex]
D) [tex]y=-5(x-5)^2+1125[/tex]
[tex]y=-5(1-5)^2+1125=-5(16)+1125=1045[/tex]
Hence, this is the quadratic equation that models the data.
