RC 5 EOC Algebra 1 Review

Mathematical Equivalence

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Mathematical Equivalence

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What is the horizontal asypmtote of the funtion

 $y=200\left(\frac{1}{2}\right)^x$  

•  $y=200$  

•  $y=\frac{1}{2}$  

•  $y=0$  

•  $x=200$  

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• $y\ =\ 5000\left(0.7\right)^t$

• $y\ =\ 5000\left(.3\right)^t$

• $y\ =\ 30\left(50\right)^t$

• $y\ =\ 30\left(5000\right)^t$

Write an equation that models the following situation: Initial value of 6 and a growth factor of 14%. ​ ​ (a)  

You buy a new computer for $2100. The computer decreases by 50% annually. Which function represents the situation?

•  $y\ =\ 2100\left(0.5\right)^t$  

•  $y\ =\ 2100\left(1.5\right)^t$  

•  $y\ =\ 50\left(1.2100\right)^t$  

•  $y\ =\ 50\left(.2100\right)^t$  

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. Write an equation to represent the situation:

• $f\left(x\right)\ =\ 30,000\left(1.05\right)^t$

• $f\left(x\right)\ =\ 30,000\left(.95\right)^t$

• $f\left(x\right)\ =\ 30,000\left(1.5\right)^t$

• $f\left(x\right)\ =\ 30,000\left(5\right)^t$

You invested $400 into an account with 7.5% interest rate compounded yearly. Which equation can be used to calculate how much you will have in x years?

•  $f\left(x\right)\ =\ 7.5\left(1.75\right)^x$ 

•  $f\left(x\right)\ =\ 400\left(0.925\right)^x$ 

•  $f\left(x\right)\ =\ 400\left(1.075\right)^x$ 

•  $f\left(x\right)\ =\ 400\left(.75\right)^x$ 

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• $y\ =\ 35\left(.15\right)^t$

• $y\ =\ 35\left(1.15\right)^t$

• $y\ =\ 15\left(.65\right)^t$

• $y\ =\ 15\left(1.35\right)^t$

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation. ​ ​ (a)