Question

Jack and Nina are graphing two equations on a coordinate grid. Jack has graphed the equation y = 2x.

If Nina graphs y = 5x, where will her graph be in relation to the graph Jack made?
A) For all x > 0 the graph will be higher.
B) For all x > 0 the graph will be lower.
C) For all x the graph will be higher.
D) For all x the graph will be lower.

Answer 1

ANSWER

A) For all x > 0 the graph will be higher.

EXPLANATION

Jack's graph has equation

y=2x

This graph passes through the origin and has slope 2.

Nina's graph is y=5x.

This graph also passes through the origin and has slope 5.

Since 5 is greater than 2, for all x>0, Nina's graph will be higher.

Answer 2

Answer: A

Step-by-step explanation: Changing the 2 to a 5 makes an exponential growth function increase at a faster rate. Therefore, for all x > 0 the graph will be higher. At x = 0 the graphs will have the same value and for all x < 0, Nina's graph will be lower.