Answer
Explanation
We've been told to pick the function that best models the data in the table.
Given that x = time (hours)
y = Cost (dollars)
The best approach is to examine each of the options to pick which one matches the data in the table
Option A
y = 65.75x + 50
when x = 1
y = 65.75 (1) + 50
= 65.75 + 50
= 115.75
when x = 4
y = 65.75 (4) + 50
= 263 + 50
= 313
when x = 8
y = 65.75 (8) + 50
= 526 + 50
= 576
when x = 12
y = 65.75 (12) + 50
= 789 + 50
= 839
Option A matches the data perfectly.
Option B
y = 50x + 115.75
when x = 1
y = 50 (1) + 115.75
y = 50 + 115.75
y = 165.75
Since this first attempt for the second function doesn't match the data in the table, we can easily write this option off as a wrong answer.
Option C
y = 65.75x + 1
when x = 1
y = 65.75 (1) + 1
= 65.75 + 1
= 66.75
Since this first attempt for the third function doesn't match the data in the table, we can easily write this option too off as a wrong answer.
O
Answer: D. -40x^3+25x^2+45x
Answer: h=3v/pir^2 +1
Step-by-step explanation:
sorry i can't use the pi symbol so i'll be referring to pi as pi
^2 is squared
1/3pir^2(h-1) =v
<u>simplify 1/3pir^2</u>
pi/3r^2(h-1)=v
<u>multiply both sides by 3 and simplify </u>
3*pi/3r^2(h-1)=3v <-- simplify = pir^2(h-1)=3v
<u>divide both sides by pir^2</u>
pir^2(h-1)/ pir^2 = 3v/ pir^2
<u>simplify </u>
h-1 = 3v/pir^2
<u>add 1 to both sides</u>
h-1 +1 = 3v/pir^2+1
answer/ simplify:
h=3v/pir^2 +1
The circumfence is <span>75.3</span><span>
2*pi*radius</span>
X=9
insert 9 for x in the equation to know that it's right.