7. ns,3
sea life
an oceanographer, dr. price, is studying the types of sea lite
at various depths.
location
sea life
depth relative to
sea level (m)
--895.9
eels
eels
-1,098
shrimp
-2,784.75
1. dr. price uses a table to organize the types of sea life!
and the positions relative to sea level of each location.
shrimp
-3,259
complete each sentence.
the difference between location a and location b is
meters.
the difference between location b and location c is
meters
the difference between location c and location d is
meters

A.) Integers are positive and negative counting numbers. So, in order to find the integer coefficients, round off the coefficients in the equation to the nearest whole number. The function for g(x) is:

g(x) = 3x²+3x

B.) Substitute x=4 to the two functions.

f(x) = 2.912345x²+3.131579x-0.099999
f(4) = 2.912345(4)²+3.131579(4)-0.099999
f(4) = 59.023837

g(x) = 3x²+3x
g(4) = 3(4)²+3(4)
g(4) = 60

C.) The percentage error is equal to:

Percentage error = |g(4) - f(4)|/f(4)  * 100
Percentage error = |60 - 59.023837|/59.023837  * 100
Percentage error = 1.65%

D.) If x is a large number, for example x=10 or x=20, then g(x) would be an overestimate. This is because the value of x is raised to the power of 2. So, as the x increases, the corresponding function would increase exponentially. Even at x=4, g(x) is already an overestimate. What more for larger values of x? That means that the gap from the true answer f(x) would increase.