Explanation:The initial number of horses = 24
year = 2011
Coordinates (2011, 24)
when the number of horses became 32, year was 2014
Coordinates (2014, 32)
We find the slope = rate of change
slope = change in number of horses/change in number of years
slope = (32-24)/(2014-2011)
slope = 8/3
The point slope formula:


The number of horses in year 2020
using points: (2011, 24) and (2020, y), we equate with the slope since it is constant for any two points on this model.
8/3 = (y - 24)/(2020 - 2011)
8/3 = (y - 24)/9
cross multiply:
8(9) = 3(y - 24)
72 = 3y - 72
72 + 72 = 3y
144 = 3y
144/3 = 3y/3
y = 48
Hence, there will be 48horses in 2020 (option A)
Answers
Surface area is 964 cm2
Volume is 1872 cm3
Step by step
Using L=length, w=width, h= height
Surface area is found by adding the area of all 6 sides. Area is found by multiplying L x W.
8x18 = 144 x2 sides = 288
18x13 = 234 x2 sides = 468
8x13 = 104 x2 sides = 208
Total all sides = 964
Volume of a rectangle is found by multiplying L x W x H
13 x 18 x 8
Volume is 1872 cm3
Answer:
125 cookies
Step-by-step explanation:
13 x 9= 117. Add 8 to the total cookies and now she has 125 cookies in total!
Answer:
f(3) = 15. Correct: D)
Explanation:
<u>Numeric Value of a Function</u>
The value of a function f(x) when x = a is calculated by replacing the x for a. We have the function:

It is required to find f(3), or the numeric value of f when x=3. Replace x for 3



A) Incorrect. f(3) is not 7
B) Incorrect. f(3) is not 10
C) Incorrect. f(3) is not 9
D) Correct. f(3) =15 as found above.