EOC Review #3

A chemical is added to water at a concentration of  parts per million (ppm). Readings are taken every one half hour to see how much of the chemical remains. The readings are recorded in the table below.

One possible function to model the data is , $C(t)=15e^{-\frac{t}{4}}$ $$=15e^{-\frac{t}{4}}$$where . Which of the following are true about the graph of C(t)?
Select ALL that apply.   

• C is always increasing

• C has no maximum 

•  $C\longrightarrow0\ and\ t\longrightarrow\infty$  

•  $C\longrightarrow\infty\ and\ t\longrightarrow\infty$  

Tags

CCSS.HSF-IF.C.7E

A chemical is added to water at a concentration of parts per million (ppm). Readings are taken every one half hour to see how much of the chemical remains. The readings are recorded in the table below.

What is the average rate of change in the concentration between t=1.5 and t=2.0?

• 2.2

• -2.2

• 3.4

• 9.6

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

A rock is dropped from a hot air balloon at a height of 100 meters. The rock’s height from the ground in meters, h(t), is modeled by the formula $$h\left(t\right)=-4.9t^2+100$$  where t is the time in seconds. What is the average rate of change in m/s of the height of the object between 2 and 4 seconds? 

• -4.9

• -9.8

• -29.4

• -58.8

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

The table shows the amount of oil, in liters, needed to fill a cylindrical can based on the radius, in centimeters, of the can, The height of each can is the same.

• cubic

• linear

• quadratic

• logarithmic

Brittany recorded the total number of ladybugs observed in a garden over a 7-day period. The scatterplot below represents the data she collected.

Which type of function do these data points best fit?

• cubic

• exponential

• linear

• quadratic

 $y=-\left|x-8\right|+3$  What is the range of the equation below?

• all real numbers less than or equal to -8 

• all real numbers less than or equal to 3 

• all real numbers greater than -8

• all real numbers greater than 3

Tags

CCSS.HSF-IF.C.7D

In the grid below, the graph of the equation $$y=\left|x\right|$$  is transformed to create y’.   Which equation is best represented by the graph of y’?

•  $y=\left|x-6\right|+3$  

•  $y=\left|x+6\right|+3$  

•  $y=\left|x-6\right|-3$  

•  $y=\left|x+6\right|-3$  

 The population of deer on an island is given by P(x)=100(0.85)x where x represents the number of years. Determine the percent rate of change for the population of deer per year.  

• 85% decrease

• 15% decrease

• 85% increase

• 15% increase

Tags

CCSS.HSF-IF.C.8B

The function h(x) is a polynomial of degree 3. It has the following end behavior.

o As x increases with very large magnitude positive numbers, the value of h(x) decreases.

o As x decreases with very large magnitude negative numbers, the value of h(x) increases.

Which polynomial function exhibits the same end behavior as h(x)?

• $g\left(x\right)=8x^5-35x+20$

• $g\left(x\right)=3x^4-21x^3+12x$

• $g\left(x\right)=-8x^5+15x^2-50$

• $g\left(x\right)=-3x^4+18x^3-14x$

The function f(x) is given by the equation $$f(x)=3\left(x^2+2\right)$$ .  The values for the quadratic function h(x) are shown in the table.   Which statement about the y-intercept of f(x) is true?  

• It is 12 units above the y intercept of h(x)

• It is 8 units above the y-intercept of h(x)

• It is 6 units above the y-intercept of h(x)

• It is 4 units above the y-intercept of h(x)