Question

function 1 is defined by the equation $r = \frac{5}{8}t - 9$. function 2 is defined by the following table. \

$$\begin{tabular}{cc} t & r \\\\ \\hline 0 & -9 \\\\ 4 & -6 \\\\ 6 & -4.5 \\\\ 10 & -1.5 \\\\ \\end{tabular}$$

which function has a greater $r$-intercept? choose 1 answer: \\(\boldsymbol{\text{a}}\\) function 1 \\(\boldsymbol{\text{b}}\\) function 2 \\(\boldsymbol{\text{c}}\\) the functions have the same $r$-intercept.

Explanation:

Step1: Find r - intercept of Function 1

The equation of Function 1 is \( r=\frac{5}{8}t - 9 \). The r - intercept occurs when \( t = 0 \). Substitute \( t = 0 \) into the equation: \( r=\frac{5}{8}(0)-9=- 9 \).

Step2: Find r - intercept of Function 2

For Function 2, we use the table. The r - intercept occurs when \( t = 0 \). From the table, when \( t = 0 \), \( r=-9 \).

Step3: Compare the r - intercepts

The r - intercept of Function 1 is - 9 and the r - intercept of Function 2 is also - 9. So the functions have the same r - intercept.

Answer:

C. The functions have the same r - intercept.