Answer:
Kendra should have multiplied the x-values by 75 to get the y-values
Step-by-step explanation:
Given
Table
X|| Y
1 || 75
2 || 150
3 || 225
4 || 300
5 || 375
Given that Kendra multiply x by 7.5 to get y
The relationship of x and y can be calculated as thus;
y = rx
Where y and x are the values at the y and x column respectively and r is the constant of proportionality
When y = 75, x = 1.
Plug in these values in the above formula
y = rx becomes
75 = r * 1
75 = r
r = 75
When y = 150, x = 2
150 = r * 2
Multiply both sides by ½
150 * ½ = r * 2 * ½
75 = r
r = 75
When y = 225, x = 3
225 = r * 3
Multiply both sides by ⅓
225 * ⅓ = r * 3 * ⅓
75 = r
r = 75
Notice that r remains 75 and the difference between y values is 75
If you apply these formula on when y = 300 or 375 and when x = 4 or 5, the constant of proportionality will remain The value of 75.
Hence, Kendra mistake is that; Kendra should have multiplied the x-values by 75 to get the y-values
Answer:
b. S = 405, D = 0
Step-by-step explanation:
We have been given that profit for a particular product is calculated using the linear equation: 
. We are asked to choose the combinations of S and D that would yield a maximum profit.
To solve our given problem, we will substitute given values of S and D in the profit function one by one.
a. S = 0, D = 0
b. S = 405, D = 0
c. S = 0, D = 299
d. S = 182, D = 145
Since the combination S = 405, D = 0 gives the maximum profit ($8100), therefore, option 'b' is the correct choice.
Answer:
Step-by-step explanation:
We have the product, 
.
It is known that,
'When we multiply a scalar with a matrix, the scalar is multiplied by each element of the matrix'.
So, we get,
.
⇒ 
⇒
So, the resulting product is .
Answer:
A) Rational
B) Irrational
C) Rational
D) Irrational
Step-by-step explanation:
Irrational numbers cannot be expressed as a ratio of two number, whereas rational numbers can be. 81 can be expressed as 9*9 whereas, 89 cannot be expressed as ratio of two numbers.
Answer:
What 108 represents here is that the total number of phones she has to fix each week is 108 phones
Step-by-step explanation:
The linear equation is
P = 108-23d
compare this with the general form;
y = mx + c
we have;
P = -23d + 108
We can see that 108 represents the y-intercept in this case
The x-value at the y-intercept is 0
So what this mean is that the number of phones she has to fix each week is 108
