Answer:
Step-by-step explanation:
You want to set up a system. We are given some points fo we can set up inputs and outputs. F(0) = 5, given by point (0,5). and F(3)=135, given by point (3,135). The exponential function general equation is F(x)= a(b)^x. plug in out functions into the general equation to get a(b)^0=5 and a(b)^3=135. Then you simplify and solve for a. In the equation a*b^0=5, anything to the power of 0 is 1. so a*1=5. Therefore a=5. we plug in the a to the second equation to find b. 5*b^3=135. b^3=27. b=3 from simplifying. Therefore, the equation should be 5(3)^x. THATS IT!
Total numbers=10
mean(average)=14.8
standard deviation=3.4254
variance_standard deviation)=11.73333
population standard deviation=3.24962
variance(population standard deviation)=10.56
Answer:
f(h) = 0.004s + 37
Step-by-step explanation:
The correct representation of the height of the plant is;
f(h) = 0.004s + 37
Given parameters;
Height of plant = 37cm
Rate of growth = 0.004cm/hr
Number of hours of sunlight = s
To solve this problem, the height of the plant is directly dependent on the amount of sunlight;
f(h) signifies that height is a function
The height of the plant is 37cm;
f(h) = 37
The plant grows at a rate of 0.004cm/hr; number of hours of sunlight is s;
0.004s
Therefore;
f(h) = 37 + 0.004s
