May 18, 2021 Summative Mathematics Final Review

 $f\left(1\right)=1;$     
  $f\left(n\right)=12f\left(n-1\right);$  
 $n\ge2$  
Which explicit function correctly describes the recursive function defined above.

•  $f\left(n\right)=12+6n;\ \ \ n\ge1$  

•  $f\left(n\right)=12^{\left(n-1\right)};\ \ \ n\ge1$  

•  $f\left(n\right)=6^{\left(n-1\right)};\ \ \ n\ge1$  

•  $f\left(n\right)=12n+6;\ \ \ n\ge1$  

Identify the equation that describes the points in the table above.

• $y=-3x+3$

• $y=3x-1$

• $y=3x+5$

• $y=-3x-1$

Choose the ordered pair that is a solution to the equation represented by the graph.

• $\left(4,0\right)$

• $\left(-1,.3\right)$

• $\left(1,4\right)$

• $\left(2,-2\right)$

 The circle is centered at point C.  Line segment $\overline{PQ}$ is parallel to  $\overline{SR}$ . What is he measure of angle  $QPS$  ?

•  $216\degree$  

•  $108\degree$  

•  $432\degree$  

•  $144\degree$  

Which of the following is $\sin\left(B\right)$  ?

•  $\frac{24}{7}$  

•  $\frac{25}{7}$  

•  $\frac{24}{25}$  

•  $\frac{7}{25}$  

Which of the following ratios is  $\tan A$  ?

•  $\frac{7}{24}$  

•  $\frac{7}{25}$  

•  $\frac{25}{24}$  

•  $\frac{24}{7}$  

what is the average rate of change in the depth of the river between hours 18 and 27?

• $\frac{1}{3}$

• $\frac{3}{1}$

• $-\frac{1}{3}$

• $-\frac{3}{1}$

The basketball team sold shirts and hats as a fund-raiser. They sold a total of 57 items and made a total profit of $1270. They made a profit of $10 for every shirt they sold and $30 for every hat they sold. How many hats did the basketball team sell?

• 22

• 35

• 120

• 40