the correct answer will be the y value increases by a factor of 7 with increase of x by 1.
What is exponential function?
In the exponential function, the variable act as an exponet and raised power of a constant i.e f(x)=aˣ
for increase in value x by 2 y₂/y₁=49/1=2401/49=117649/2401=49
and it is clear that as it is an exponential function
a⁰=1,
a²=49,
a⁴=2401
so the value of a is 7
therefore for increase in value x by 1 y₂/y₁=√49=7
hence, the y value increases by a factor of 7 with increase of x by 1.
learn more about the exponential function
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