Biology A science class performs an experiment comparing the quantity of food consumed by a species of moth with the quantity of food supplied. The model for the experimental data is y = 1.568 x − 0.001 6.360 x + 1 , x > 0 where x is the quantity (in milligrams) of food supplied and y is the quantity (in milligrams) of food consumed. (a) Use a graphing utility to graph this model. (b) At what level of consumption will the moth become satiated?
Biology A science class performs an experiment comparing the quantity of food consumed by a species of moth with the quantity of food supplied. The model for the experimental data is y = 1.568 x − 0.001 6.360 x + 1 , x > 0 where x is the quantity (in milligrams) of food supplied and y is the quantity (in milligrams) of food consumed. (a) Use a graphing utility to graph this model. (b) At what level of consumption will the moth become satiated?
Solution Summary: The author explains how the graph of function y=1.568x-0.0016.360x+1,x>0 can be plotted by using graphing calculator TI-83.
Biology A science class performs an experiment comparing the quantity of food consumed by a species of moth with the quantity of food supplied. The model for the experimental data is
y
=
1.568
x
−
0.001
6.360
x
+
1
,
x
>
0
where
x
is the quantity (in milligrams) of food supplied and
y
is the quantity (in milligrams) of food consumed.
(a) Use a graphing utility to graph this model.
(b) At what level of consumption will the moth become satiated?
Think About the Process At the speed of 50 miles per hour (mph), a car's fuel efficiency is 45 miles per gallon (mpg) of gasoline. For every mile per hour over 50,
the car loses 3% of its fuel efficiency. Draw a graph to model the situation. How can you tell if the graph represents a proportional relationship? Is the change in the
car's fuel efficiency proportional to the car's speed?
O A
OB.
OC.
Fuel Efficiency
Fuel Efficiency
Fuel Efficiency
45
45
0
3 30-
30-
- -15-
15-
15-
-30-
....
0-
10
Speed Over 50 mph
-45-
Speed Over 50 mph
10
Speed Over 50 mph
What is one way to tell if the graph represents a proportional relationship?
O A. The graph will be a line.
O B. The graph will pass through the origin
O C. The graph will be a line that passes through the origin.
O D. The graph will be a curve not a line
Is the change in the car's fuel efficiency proportional to the car's speed?
Yes
No
Click to select your answer.
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