Question

Stella is going to drive from her house to City A without stopping. A equation that determines Stella's distance from City At hours after leaving her house is D= -60t + 240. What is the x-intercept of the equation and what is its interpretation in the context of the problem?

Answer 1

Here, the given equation of the line is D=-60t+240.

The equation D=-60t+240 can be written in standard form Ax+By=C implies,

$60t+D=240$

Use the equation X intercept =C/A to calculate the x intersept implies,

$\begin{gathered} x\text{ intersept =}\frac{240}{60} \\ x\text{ intersept =4} \end{gathered}$

Therefore, the answer is (4,0).

In thsi problem, when the time is 4 sec , Stella is still at the house. She didnot started her drive from her home.