Chapter 1.2, Problem 43E

(a)

To determine

To graph: The equation $y=30,000-400t$ where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January $1$. The heating oil storage tank of an apartment was filled on January $1$ but sometimes until March no more transfers of oil was made.

(b)

To determine

To calculate: The amount of oil in the tank on February $1$, if the equation is $y=30,000-400t$ where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January $1$. The heating oil storage tank of an apartment was filled on January $1$ but sometimes until March no more transfers of oil was made.

(c)

To determine

To calculate: The amount of oil in the tank on February $15$, if the equation is $y=30,000-400t$ where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January $1$. The heating oil storage tank of an apartment was filled on January $1$ but sometimes until March no more transfers of oil was made.

(d)

To determine

To calculate: The y-intercept of the graph and its significance, if the equation is $y=30,000-400t$ where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January $1$. The heating oil storage tank of an apartment was filled on January $1$ but sometimes until March no more transfers of oil was made.

(e)

To determine

To calculate: The t-intercept of the graph and its significance, if the equation is $y=30,000-400t$ where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January $1$. The heating oil storage tank of an apartment was filled on January $1$ but sometimes until March no more transfers of oil was made.