Solving Exponentials with same Base (LT 19)
Solve for x:
52x=625
x=2
Bridge City has a population of 15,000 people. Its population is decreasing at a rate of 1.5% each year
What is the initial or a value?
15,000
What is the common ratio/multiplier in this function?f(x)=4(2)x
Bridge City has a population of 15,000 people. Its population is decreasing at a rate of 1.5% each year. The function is f(x)=15,000(0.985)x What is the population after 10 years. Round to the nearest whole number.
12,896
If a linear regression has an R2 value of 0.973 and the exponential regression has an R2 value of 0.978. Which model is a better fit for the data and why?
Exponential, because the R2 value is closer to 1.
Solve for x:
3-4x=729
x=-3/2
Krystal City has a population of 40,500 people. Its population is increasing at a rate of 3.8% each year.
What is the rate as a decimal?
0.038
What is the y intercept in this function?
f(x)=5(4)x
5
Joyville has a population of 20,750 people. Its population is increasing at a rate of 2.7% each year. The function is f(x)=20,750(1.027)x What is the population after 30 years. Write your answer as a whole number.
46,146
If a linear regression has an R2 value of 0.951 and the exponential regression has an R2 value of 0.935. Which model is a better fit for the data and why?
Linear, because the R2 value is closer to 1.
Solve for x:
7x-2=7
x=-1
Mapletown has a population of 95,000 people. Its population is decreasing at a rate of 1.375% each year. Write the function.
F(x)=95,000(0.98625)x
What is the x value of any a or initial value? (Usually seen on a table)
x=0
Sarah is investing her graduation money into an account that is compounded semiannually with a 1.8% interest rate. She was gifted $1,000 from her grandparents for graduation. The function
f(t)=1000(1.009)2t represents the scenario where t represents the time in years and f(t) is the amount of money in her account. How much money will Sarah have after 5 years? Round to the nearest cent (hundredth place).
$1093.73
Is the function growth or decay and why?
f(x)=0.75(1.2)x
Growth, b>1
Solve for x:
2x=256
x=8
Hannonville has a population of 6075 people. Its population is decreasing at a rate of 0.5% each year.
Write the function.
f(x) = 6075(0.995)x
Decay, 0<b<1
Sarah is investing her graduation money into an account that is compounded semiannually with a 1.8% interest rate. She was gifted $1,000 from her grandparents for graduation. The function
f(t)=1000(1.009)2t represents the scenario where t represents the time in years and f(t) is the amount of money in her account. How much money will Sarah have after 7 years? Round to the nearest cent (hundredth place).
$1133.64
f(x)=10,000(0.985)x
Decay, 0<b<1
Solve for x:
43-x=256
x=-1
Waterville has a population of 985 people. Its population is increasing at a rate of 6.65% each year.
Write the function.
f(x) = 985(1.065)x
Complete the statement: The horizonal asymptote of all our functions is y=_____.
0
Bob is investing his summer job money into an account that is compounded semiannually with a 3% interest rate. He earned $5,000. The function
f(t)=5,000(1.015)2t represents the scenario where t represents the time in years and f(t) is the amount of money in her account. How much money will Bob have after 2 years? Round to the nearest cent (hundredth place).
$5306.82
What is the most ordered item at McDonalds?
French Fries