Question

a company has a tanker truck to transport liquid chemicals. the function $y(t)= - 7,150t + 6,325$ gives the number of gallons of chemicals that are in the tanker truck after $t$ hours at one of the companys chemical storage facilities. which description matches the function? the tanker truck has 7,150 gallons of chemicals when it arrives at the facility. it is then drained at a rate of 6,325 gallons per hour. the tanker truck has 6,325 gallons of chemicals when it arrives at the facility. it is then drained at a rate of 7,150 gallons per hour. the tanker truck has 6,325 gallons of chemicals when it arrives at the facility. it is then filled at a rate of 7,150 gallons per hour. the tanker truck has 7,150 gallons of chemicals when it arrives at the facility. it is then filled at a rate of 6,325 gallons per hour.

Explanation:

The linear - function is in the form \(y(t)=mt + b\), where \(m\) is the rate of change and \(b\) is the initial value. In the function \(y(t)=-7150t + 6325\), the slope \(m=-7150\) (negative indicates a decrease) and the \(y\) - intercept \(b = 6325\). So, the initial amount of chemicals is 6325 gallons and it is decreasing (being drained) at a rate of 7150 gallons per hour.

Answer:

The tanker truck has 6,325 gallons of chemicals when it arrives at the facility. It is then drained at a rate of 7,150 gallons per hour.