Question

3 8.ee.1 - dok 1
what expression is the value of \\(\frac{1}{3^{-2}}\\)?
a. \\(-\frac{1}{9}\\)
b. \\(-\frac{1}{6}\\)
c. 6
d. 9

4 8.ee.5 - dok 2
a tank is filled with water at a constant rate. the graph shows the water level over time.
graph: x-axis time (hr) from 0 to 7, y-axis water (ft³) from 0 to 18,000, line from (0,0) to (6,18,000)
what is the rate at which the tank is being filled?
a. \\(2,000 \frac{ft^3}{hr}\\)
b. \\(2,000 \frac{hr}{ft^3}\\)
c. \\(4,000 \frac{hr}{ft^3}\\)
d. \\(4,000 \frac{ft^3}{hr}\\)

Explanation:

Problem 3 Step1: Calculate $3^2$

$3^2 = 9$

Problem 3 Step2: Compute $\frac{1}{-3^2}$

$\frac{1}{-9} = -\frac{1}{9}$

Problem 4 Step1: Find two points on the graph

Points: $(0,0)$ and $(5,18000)$ (approximate, or $(1,4000)$ as seen)

Problem 4 Step2: Calculate the slope (rate)

Rate = $\frac{18000 - 0}{5 - 0} = 3600$ (or $\frac{4000 - 0}{1 - 0} = 4000$; precise from grid: at 1hr, 4000 ft³, so rate=4000)

Answer:

a. $-\frac{1}{9}$
d. $4,000 \frac{ft^3}{hr}$