A water tank has been sanitized by pouring in chlorine bleach. Bleach is toxic at the level needed to sanitize, so you need to flush out the tank using clean water. The result is that, after each hour of flushing, there is a 19% reduction in the bleach concentration. Assume that when you began flushing, the bleach concentration is 150 mg per gallon. a) Determine whether a linear function or exponential function can be used to model the bleach concentration. Explain your decision. b) Give a formula for the concentration as a function of time. You need to choose your variable names and specify what each represents. c) You can safely use the water tank for drinking purposes when the bleach concentration is below 0.7 mg per gallon. How long do you need to flush the tank to reach this concentration?
A water tank has been sanitized by pouring in chlorine bleach. Bleach is toxic at the level needed to sanitize, so you need to flush out the tank using clean water. The result is that, after each hour of flushing, there is a 19% reduction in the bleach concentration. Assume that when you began flushing, the bleach concentration is 150 mg per gallon.
a) Determine whether a linear function or exponential function can be used to model the bleach concentration. Explain your decision.
b) Give a formula for the concentration as a function of time. You need to choose your variable names and specify what each represents.
c) You can safely use the water tank for drinking purposes when the bleach concentration is below 0.7 mg per gallon. How long do you need to flush the tank to reach this concentration?
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