Answer:
Step-by-step explanation:
We're given one equation, we have to find the other equation and solve each for 200, and whichever has the lower x is the winner
for Jayden we are given
[tex](0, 48), (1, 56), (2, 64), (3, 72), (4, 80)[/tex]
This looks to be a line. The y values are each separated by a common difference
We can use two points to describe the line
[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{80-48}{4-0} = \frac{32}{4} = 8\\ K = 8m + b\\48 = 8(0) + b\\b = 48\\so\\K = 8m + 48[/tex]
Now we can set both [tex]K = 8m + 48[/tex] and [tex]K = m^2 + 10[/tex] equal to 200
[tex]200 = 8m + 48\\152 = 8m \\m = \frac{152}{8} = 19[/tex]
[tex]200 = m^2 + 10\\m^2 = 190\\m = \sqrt{190} = 13.784[/tex]
Keiko's blog will reach 200 subscribers fastest.
