Answer:
Step-by-step explanation:
3x - 2 + 2x - 3= 90
5x - 5 = 90
5x = 95
x = 19
answer is b
The student solved the problem incorrectly. The student should add 12.7 to both sides of the equation to isolate the variable, y.
The temp after 15 minutes is 225 degrees because the initial temp plus the rate time the number of minutes gives the current temp. in this case, 75 + 10(15) = 225
therefore, the temp after t minutes can be represented by the equation f(x) = 10t + 75
The exponential function which has the greatest average rate of change over the interval [0, 2] is option B.
<h3>How to calculate the average rate of change?</h3>
Mathematically, the average rate of change between two (2) points can be calculated by using this expression;
For option A, we have:
when x = 0; when x = 2;
y = 3(1.6)^x y = 3(1.6)^x
y = 3(1.6)^0 y = 3(1.6)^2
y = 3. y = 7.68
ΔA = (7.68 - 3)/(2 -0) = 2.34.
For option B, we have:
ΔA = (9 - 4)/(2 -0) = 2.5.
For option C, the exponential function has a common ratio of 2.
ΔA = 2.
For option D, we have:
ΔA = (10 - 8)/(1 -0) = 2.
In conclusion, we can logically deduce that the exponential function which has the greatest average rate of change over the interval [0, 2] is option B i.e 2.5.
Read more on average rate of change here: brainly.com/question/3493733
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Answer:
The population in 2003 was 234 million
Step-by-step explanation:
In order to calculate the population in 2003 we would have to use the The exponential growth formula as follows:
p(y)=ir^t
According to the given data:
p(y)=233 million
i=231 million
t
=1999-1991
Therefore, 233 million=231 million r^(1999-1991)
(233 million/231 million)^(1/8)=r
p(y)=231 million(233 million/231 million)^((y-1991)/8)
Therefore, in 2003
p(2003)=231 million(233 million/231 million)^((2003-1991)/8)
p(2003)=231 million(233 million/231 million)^(1.5)
p(2003)=234 million
The population in 2003 was 234 million
