Answer:
A. y = [tex]\frac{2}{5}[/tex]x + 1
Step-by-step explanation:
A linear function is a function that has an exponential value of zero or one and that, when graphed, is a straight line. The only equation that fits this description is answer choice A. We can also use the process of elimination to figure out which answer choice is correct.
A: A is the correct answer because it has an exponential value of one, meaning that it will be a straight line.
B: B is incorrect because the x has an exponential value of 2, which tells us that the equation is quadratic, not linear. If you were to graph this equation, it would look like a parabola, not a straight line.
C: C is incorrect for the same reason as answer choice B, the exponential value of this equation is more than one, meaning that the equation can't be linear.
D: D is incorrect because it contains a radical [tex]\sqrt{x}[/tex]. When [tex]\sqrt{x}[/tex] is graphed, it looks like half of a parabola, which isn't a straight line.
