If points (1,23) and (3,38) lie on the graph of y = bx^a, solve for a. A) $a$ = 0.200 B) $a$ = 0.457 C) $a$ = 0.810 D) $a$ = 1.235

Name: If points (1,23) and (3,38) lie on the graph of y = bx a , solve for a. A) $a$ = 0.200 B) $a$ = 0.457 C) $a$ = 0.810 D) $a$ = 1.235
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Question

Quizplus · Accepted Answer

Using the points given, we have:

23 = b + a(1)^2

38 = b + a(3)^2

Simplifying, we get:

b = 23 - a

b = 38 - 9a

Substituting for b, we get:

23 - a = 38 - 9a

8a = 15

a = 1.875

Therefore, the answer closest to 1.875 is B, a = 0.457.

If Points (1,23) and (3,38) Lie on the Graph of Y