Not sure question is complete, assumptions however
Answer and explanation:
Given the above, the function of the population of the ants can be modelled thus:
P(x)= 1600x
Where x is the number of weeks and assuming exponential growth 1600 is constant for each week
Assuming average number of ants in week 1,2,3 and 4 are given by 1545,1520,1620 and 1630 respectively, then we would round these numbers to the nearest tenth to get 1500, 1500, 1600 and 1600 respectively. In this case the function above wouldn't apply, as growth values vary for each week and would have to be added without using the function.
On one hand, the function above could be used as an estimate given that 1600 is the average growth of the ants per week hence a reasonable estimate of total ants in x weeks can be made using the function.
Answer:
1. y = -0.6x + 5.4.
2. The entered points belong to a vertical line. There is no slope.
Equation: x = 6
3. y = 0.16667x + 5.5.
4. The entered points belong to a vertical line. There is no slope.
Equation: x = -8.
Step-by-step explanation:
The constant rate of change of the account is $40 or Increasing by $40 per month.
Step-by-step explanation:
Consider the provided information.
Joanne is depositing money into a bank account. After 3 months there is $120 in the account. After 6 months there is $240 in the account.
Rate of change is known as how one quantity change in relation to other.
The rate of change can be calculated as:
y2-y1/x2-x1
Now use the above formula to calculated the rate of change.
240 - 120/6-3
120/3
40
Hence, the constant rate of change of the account is $40 or Increasing by $40 per month.
Answer:
No they are not proportional
Step-by-step explanation:
They arent proportional because if they were on a graph they wouldnt have a straight line ... I'm in wrong lmk
Answer:
176.71 cm
or
56.25π cm
Step-by-step explanation:
The formula for the circumference of a circle is:
C = πd
Where C is the circumference and d is the diameter
Let's substitute the circumference given into this formula:
C = πd
15π = πd
Now, we can solve this equation for d.
Divide by π on both sides:
15π = πd
/π /π
15 = d
Therefore, the diameter is 15 cm.
We need to find the area. The formula for the area of a circle is:
A = πr²
First, let's find the radius. The radius is half of the diameter, so divide the diameter by 2.
15/2 = 7.5
radius = 7.5 cm
Now, we can solve for the area.
Substitute into the formula for area:
A = πr²
A = π(7.5²)
A = π(56.25)
A ≈ 176.71
Therefore, the area is approximately 176.71 cm, or in terms of pi, 56.25π.
