Option C:
is the predicted population when 
Explanation:
The regression equation for an exponential data is 
Where x is the number of years and
y is the population
We need to determine the predicted population when 
The population x can be determined by substituting
in the equation 
Thus, we have,



Using the logarithmic definition
then 


Rounding off to the nearest whole number, we get,

Thus, the predicted population when
is 316
Hence, Option C is the correct answer.
Answer:
The answer to your question is the height of the lamp is 18.2 ft
Step-by-step explanation:
Data
Street lamp shadow = 31.5 ft
Street sign height = 8 ft
Street sign shadow = 14 ft
Street lamp height = x
Process
1.- To find the height of the lamp use proportions. In this kind of problem, we do not look for the length, but the shadow.
Street lamp height/street lamp shadow = street sign height/street sign
shadow
Substitution
x / 31.5 = 8 / 14
Solve for x
x = (31.5)(8) / 14
Simplification
x = 254.4 / 14
Result
x = 18.2 ft
Bryan has to take 8 classes for both Pro's to be the same price.
Step-by-step explanation:
Given,
Monthly charges of Pro at Windy = $20.00
Charges per lesson = $10.00
Let,
x be the number of lessons
W(x) = 10x +20
Monthly charges of Sunny Sands = $100.00
They offer unlimited classes.
S(x) = 100
For the price to be same;
W(x) = S(x)

Dividing both sides by 10

Bryan has to take 8 classes for both Pro's to be the same price.
Keywords: function, division
Learn more about division at:
#LearnwithBrainly
Answer:
Tax for Italian Salad=$0.20
Tax for Lasagna= $0.43
Tax for Spaghetti =$0.21
Tax for Fettuccini Alfredo =$0.36
Step-by-step explanation:
Hi, to answer this question we have to multiple the price of each item by the tax percentage in decimal form (divided by 100):
Italian Salad =$3.99
- Tax for Italian Salad= 3.99 x (5/100) = 3.99 x 0.05 =$0.20
Lasagna =$8.50
- Tax for Lasagna= 8.50 x (5/100) = 8.50 x 0.05 =$0.43
Spaghetti =$4.29
- Tax for Spaghetti = 4.29x (5/100) = 4.29 x 0.05 =$0.21
Fettuccini Alfredo =$7.17
- Tax for Fettuccini Alfredo = 7.17 x (5/100) = 7.17 x 0.05 =$0.36
Feel free to ask for more if needed or if you did not understand something.