As we can see from the table there is a pattern to the whole data in the table. A closer look reveals that when we multiply the number of students, n by the cost per student, c we get a constant number, 72. Let us see what we mean here:
![3\times24=72](https://tex.z-dn.net/?f=3%5Ctimes24%3D72)
![6\times 12=72](https://tex.z-dn.net/?f=6%5Ctimes%2012%3D72)
![9\times 8=72](https://tex.z-dn.net/?f=9%5Ctimes%208%3D72)
![16\times 4.5=72](https://tex.z-dn.net/?f=16%5Ctimes%204.5%3D72)
Thus, the function which models the data is the
.
Now, let us move on to the next part of the question:
If 12 students go on the trip then the cost per student as per this model will be:
dollars=$6
Therefore, out of the given options, the option the correct option is number B.
Answer:
f(y) = 5(2.2y + 1) - 3 and h(y) = 11y + 2 are equivalent.
Step-by-step explanation:
The functions are f(y) = 5(2.2y + 1) - 3, g(y) = 11y + 5 - y and h(y) = 11y + 2
Now, for y = 1,
f(1) = 5(2.2 + 1) - 3 = 16 - 3 = 13
g(1) = 11 + 5 - 1 = 15
h(1) = 11 + 2 = 13
Therefore, f(1) = h(1)
Now, for y = 2,
f(2) = 5(4.4 + 1) - 3 = 24
g(2) = 22 + 5 - 2 = 25
h(2) = 22 + 2 = 24
Hence, f(2) = h(2)
Now, for y = 3,
f(3) = 5(6.6 + 1) - 3 = 35
g(3) = 33 + 5 - 3 = 35
h(3) = 33 + 2 = 35
Hence, f(3) = g(3) = h(3)
But in case of f(y) and h(y) the values are same for y = 1, 2, 3.
So, f(y) = 5(2.2y + 1) - 3 and h(y) = 11y + 2 are equivalent.
Answer:
3x +4x +5x +7x +2
19X+2
THE ANSWER IS 19x+2
Step-by-step explanation:
Expand
subtract 6x from both sides
simplify 7x + 42 - 6x to x + 42
subtract 42 from both sides
simplify -18 - 42 to -60.
Answer: x = -60.