Answer:
The linear equation represents a proportional relationship and its constant of proportionality is .
Step-by-step explanation:
A proportional relationship exists when the following relationship is observed:
Where:
- Dependent variable.
- Independent variable.
- Proportionality constant.
If and and , the following expresion is found:
The linear equation represents a proportional relationship and its constant of proportionality is .
You answer is A. You have to substitute the values of x and y into the equation.
(3*1)= 4-1
4-(2*1)=2
(4,1)
(x,y)
Answer:
OPTION A
Step-by-step explanation:
To find the table substitute the points on the given function and compare the values.
The given function is: .
OPTION A:
(i) When x = -2
LHS = y = 6.
RHS = (-2)² + 2 = 4 + 2 = 6.
LHS = RHS
(ii) When x = -1
LHS = y = 3
RHS = (-1)² + 2 = 1 + 2 = 3.
LHS = RHS
(iii) When x = 0
LHS = y = 2
RHS = 0² + 2 = 2.
LHS = RHS
(iv) When x = 1
LHS = y = 3
RHS = (1)² + 2 = 1 + 2 = 3.
LHS = RHS
(v) When x = 2
LHS = y = 6
RHS = (2)² + 2 = 4 + 2 = 6
LHS = RHS
OPTION B:
(i) When x = -2
LHS = y = -2
RHS = (-2)² + 2 = 6
LHS RHS
OPTION B is eliminated.
OPTION C:
(i) When x = -2
Using the same reason as OPTION B this option is eliminated as well.
So, OPTION A is the correct answer.
Answer:
(a) 13.85 °C
Step-by-step explanation:
The temperature difference is a decaying exponential function of time. Here, it decreases from an initial difference of 15 °C to 10 °C after 25 minutes. So, that temperature difference can be modeled as ...
ΔT = 15(10/15)^(t/25)
We want to find the value of this at t=55. It is ...
ΔT = 15(2/3)^(55/25) ≈ 6.15
This is the amount the temperature of the drink is below room temperature.
drink temperature = (20 - 6.15) °C = 13.85 °C
The temperature of the drink after 55 minutes is about 13.85 °C.