Q16. - Algebra 1

Question

The function $y=-15+3x$ represents the outside temperature, in degrees Fahrenheit, in a small Alaskan town where x represents the number of hours after midnight. The function is accurate for x values representing midnight through 4:00 PM. Find the zero of this function.

A 0

B 3

C 5

D $-15$

Step-by-Step Solution

Answer

The correct option is represented by C.

Step 1. Determine the method which can be used to determine the graph of the provided equation.

Take the help of method associated with x-intercept and y-intercept. The graphical representation of each intercept will make points and the joining of those points will result in the actual graph.

Step 2. Determine the required zero.

Take the help of obtained information about graph and write x-intercept that can be obtained by using 0 in place of y into the provided equation.

$$\begin{gathered} 0=-15+3x \\ 3x=15 \\ x=\frac{15}{3} \\ x=5 \end{gathered}$$

Step 3. Write the conclusion.

The obtained x-intercept is the required zero.