Question

function 1 is defined by the equation $r = \frac{3}{4}t + 5$.\
function 2 is defined by the following table.\

t	r	\
----	----	\
0	5.25	\
1	6	\
2	6.75	\
3	7.5	\

which function has a greater $r$-intercept?\
choose 1 answer:\
a function 1\
b function 2\
c the functions have the same $r$-intercept.

Explanation:

Step1: Find r-intercept of Function 1

The r-intercept occurs when $t=0$. Substitute $t=0$ into $r=\frac{3}{4}t + 5$:
$r=\frac{3}{4}(0) + 5 = 5$

Step2: Find r-intercept of Function 2

The r-intercept is the r-value when $t=0$. From the table, when $t=0$, $r=5.25$.

Step3: Compare the two intercepts

Compare $5$ and $5.25$: $5.25 > 5$

Answer:

B. Function 2