Question

Titus works at a hotel. Part of his job is to keep the complimentary pitcher of water at least half full and always with ice. When he starts his shift, the water level shows 4 gallons, or 128 cups of water. As the shift progresses, he records the level of the water every 10 minutes. After 2 hours, he uses a regression calculator to compute an equation for the decrease in water. His equation is W –0.414t + 129.549, where t is the number of minutes and W is the level of water. According to the equation, after about how many minutes would the water level be less than or equal to 64 cups?

Answer 1

Answer:

About 158.33 minutes

Step-by-step explanation:

The equation which shoes the level of water:

$W = -0.414t + 129.549$

Where  t is the number of minutes

W is the level of water in cups or gallons

Now we are supposed to calculate after about how many minutes would the water level be less than or equal to 64 cups

W = 64

So, equation becomes :

$-0.414t + 129.549\leq 64$

$-0.414t \leq-65.549$

$t \geq \frac{65.549}{0.414}$

$t \geq 158.33$

Thus it will take about 158.33 minutes or more so that  the water level would be less than or equal to 64 cups

Answer 2

The answer is B. 160 minutes