U6 Mathematical Modeling

Write the formula for c.

P=3a+5c

• $c=\frac{P\ -\ 3a}{5}$
  

• $c\ =\ \frac{P\ -\ 5}{3a}$

• $c\ =\ \frac{P\ +\ 3a}{5}$

• $c\ =\ P\ -\ 3a\ \cdot5$

Given that f(x)=3|x+1|-4, for what values of x is f(x)=11 ?

• x = -6

• x = 4

• x = -4 x = 6

• x = 4 x = -6

Which graph represents

f(x) = -3|x - 2| + 1

• 
• 
• 
• 

• 3

• 4

• 1

• 2

Find the partial sum of the 1st 8 terms (S₈):

4 + 12 + 36 + 108 + …

• a₁=3 r=4 S=3120

• a₁=3 r=4 S=13120

• a₁=4 r=3 S=13120

• a₁=4 r=8 S=132120

Joshua needs to solve the equation x² – 3x – 4 = x – 4. Write a system of equations he could write to help him solve for x and name the solution for his system. (You may need to zoom to see the intersections.)

• x = 0 x = 4

• x = -1 x = -4

• x = -1 x = 4

• x = 0 x = -4

The graph shows the number of houses sold over x days. What is the average rate of change over the interval [0, 12]?

• 3

• 1/3

• -3

• -1/3

The function below represents the height of a cell phone when it is dropped from a height of 192 ft, where x is the number of seconds after release.

f(x)=192-16t²

What is the average rate of change during the first 3 seconds after release?

• 48 ft/sec

• 18 ft/sec

• -48 ft/sec

• -16 ft/sec

Solve & Graph the inequality.

-2x + 15 < -9

• x < 12

• x > 12

• x < 12

• x < 12

Which ordered pair(s) makes both inequalities true?

y > 2x – 8

y < -x

• ( 4, 0)

• ( -4, 0)

• ( 1, 5)

• point D

• (0, 0)