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 â€"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

The number of minutes that would make the water level be less than or equal to 64 cups is;

160 minutes.

We are given the equation;

W = -0.414t + 129.549

where;

t is the number of minutes

W is the level of water

The expression to find the amount of time it will take for the water level be less than or equal to 64 cups is;

-0.414t + 129.549 ≤ 64

Using substitution property of equality, subtract 129.549 from both sides to get;

-0.414t + 129.549 - 129.549 ≤ 64 - 129.549

-0.414t ≤ -65.549

Using division property of equality, divide both sides by -0.414 to get;

t ≤ -65.549/-0.414

t ≥ 158.33

(sign changed to ≥ because we divided the inequality by a negative number.)

We have to approximate the inequality to get;

t = 160 minutes.

Read more about Inequalities at; brainly.com/question/1310267