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you got the last problem right - keep it up! he irrigation tank is fill…

Question

you got the last problem right - keep it up!
he irrigation tank is filling. from a starting water level, the water level is increasing at a constant rate in feet per
hour. the following graph shows the tank water level after it started filling.
question 1: what was the starting water level (to the nearest foot)?
enter the number without units:
question 2: how fast is the water level rising (to the nearest foot per hour)?
enter the number without units:
question 3: if the water level were rising slower (choose as many as fit):
the line would be flatter
the line would be steeper
the intercept on the vertical axis would be lower
the intercept on the vertical axis would be higher
question 4: if the starting water level were higher (choose as many as fit):
the line would be flatter
the line would be steeper
the intercept on the vertical axis would be lower
the intercept on the vertical axis would be higher
check answers

Explanation:

Step1: Find starting water level

The starting level is the y-intercept, at $x=0$: $y=8$.

Step2: Calculate rise rate (slope)

Slope formula: $\frac{y_2-y_1}{x_2-x_1}$. Use $(0,8)$ and $(1,11)$: $\frac{11-8}{1-0}=3$.

Step3: Analyze slower rise effect

Slope represents rise rate; slower = smaller slope = flatter line.

Step4: Analyze higher starting level effect

Starting level = y-intercept; higher start = higher intercept.

Answer:

  1. 8
  2. 3
  3. The line would be flatter
  4. The intercept on the vertical axis would be higher