#of guests waitstaff tip
10 18
20 36
30 54
40 72
50 90
<span>If the tip varies directly with the number of guests, which equation represents the relationship between the tip, t, and the number of guests, g?
t = 1.8g t = g/18 g = 1.8t g = t/18
</span>
18/10 = 1.8
36/20 = 1.8
54/30 = 1.8
direct variation: <span>t = 1.8g</span>
Answer:
54,706 > 45,802
Step-by-step explanation:
Well, as you know, the > symbol means that one number has a greater value than another. For example, 2 > 1. The way we can find that out is using subtraction. Take 54,706 - 45,802, and if that number is positive, then the first number is greater than the other.
54,706 - 45,802 = 8,904
8,904 is a positive.
Therefore, 54,706 > 45,802.
P = $3,471.52, the principal
r = 3.1% = 0.031, annual ratr
n = 12, monthly compounding
t = 21 years
Note that n*t = 252.
The value after 21 years is
A = 3471.52*(1 + 0.031/12)²⁵²
= $6,650.91
The interest earned is
6650.91 - 3471.52 = 3179.39
Answer: $3,179.39
Option B:
is the correct answer.
Explanation:
The exponential equation is 
If
, then 
Thus, the equation becomes

Applying log rule,
and thus the equation becomes

Since, we know that,
, using this we get,

Hence, the logarithmic equation which is equivalent to the exponential equation
is 
Thus, Option B is the correct answer.
Answer: y=3x+3
explanation: