10 i think i don't know how to deleat this so can u?
Answer:
Step-by-step explanation:
If there needs to be 4 teachers per 21 students, you would divide the total amount of students by 21 and multiply that answer by 4. SO...:
84 ÷ 21 = 4 groups of 21 students.
4 groups × 4 teachers = 16
*** Answer***
16 TEACHERS
90 mph because 90mph is 132 ft/s
<span>The table shows the outputs, y, for different inputs, x:
Input (x) 1 3 5 7
Output (y) 8 6 5 4
Part A: Do the data in this table represent a function? Justify your answer. (3 points)
Yes, the data in the table represent a function. The reason is that given an input (value of x), in the domain of the function (which is 1, 3, 5, 7), you can state the correspondant output (value of y) without ambiguity.
Part B: Compare the data in the table with the relation f(x) = 4x + 8. Which relation has a greater value when x = 3? (2 points)
x = 3 => f(3) = 4(3) + 8 = 12 + 8 = 20
While the image of 3 in the data is y = 6.
So, the function f(x) = 4x + 8 has a greater value when x = 3.
Part C: Using the relation in Part B, what is the value of x if f(x) = 76? Be sure to show all your work.
f(x) = 76 = 4x + 8 => 4x = 76 - 8 = 68
=> x = 68/4 = 17
</span>
Answer:
f(x) = 500 • 1.1x
Step-by-step explanation:
To solve the question, we need to understand that:
- The population of ants is going to increase with time as they mate and have a population positive growth rate.
- The initial number of ants is 500.
- The rate at which it increases will be multiplied with x months
We will work our way out by removing the wrong answers first
Since,
The population cannot be decreased so we can neglect the last two options involving 0.9 as it will result in a decrease in the population.
Now we are left with two options:
a) f(x) = 500 • 1.1x
b) f(x) = 1.1 • 500x
Since in the option (b) , 500 is multiplied with x , it is not possible as 500 is a constant initial amount and not a factor of growth of population. The growth factor is supposed to be multiple of x months.
So, the correct answer is f(x) = 500 • 1.1x
