Chec Match each data relationship with a type of correlation.
2 answers:
I've attached an image showing the data relationship.
Answer:
1) y does not change based on changes in x: no-correlation
2) y tends to increase as x increases: positive correlation
3) y tends to decrease as x increases: negative correlation
Step-by-step explanation:
1) y does not change based on changes in x: This means that there is no correlation between y and x since change in x doesn't affect y.
2) y tends to increase as x increases: This implies positive correlation because the output increases with increase in input.
3) y tends to decrease as x increases: This implies negative correlation because the output decreases with increase in input values.
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Answer:
<em>The value 60 represents the speed of the vehicle the counselor is driving.</em>
Step-by-step explanation:
<u>Linear Function</u>
The linear relationship between two variables d and t can be written in the form
Where m is the slope (or rate of change of d with respect to t) and b is the y-intercept or the point where the graph of the line crosses the y-axis
The function provided in our problem is
Where d is the distance in miles the counselor still needs to drive after t hours. Rearranging the expression:
Comparing with the general form of the line we can say m=-60, b=130. The value of -60 is the slope or the rate of change of d with respect to t. Since we are dealing with d as a function of time, that value represents the speed of the vehicle the counselor is driving. It's negative because the distance left to drive decreases as the time increases
Solution: We are given:
Sales tax
The pre-tax price of the supplies
We have to find the total cost of the supplies.
We first need to find the sales tax on the price of supplies. The sales tax amount is:
Therefore, the total cost of the supplies = pre-tax price of the sales + sales tax amount
=$48 + $3.36
=$51.36
Let's call:
f = price of 1 cup of dried fruit
a = price of 1 cup of almonds
In order to build the linear system, you need to consider that the total price of a bag is given by the sum of the price of cups times the number of cups in each bag, therefore:
Solve for a in first equation:
a = (6 - 3f) / 4
Then substitute in the second equation:
41/2 f + 6 · (6 - 3f) / <span>4 = 9
41/2 f + 9 - 9/2 f = 9
16 f = 0
f = 0
Now, substitute this value in the formula found for a:
</span>a = (6 - 3·0) / <span>4
= 3/2 = 1.5
Hence, the cups of dried fruit are free and 1 cup of almond costs 1.5$</span>
f = price of 1 cup of dried fruit
a = price of 1 cup of almonds
In order to build the linear system, you need to consider that the total price of a bag is given by the sum of the price of cups times the number of cups in each bag, therefore:
Solve for a in first equation:
a = (6 - 3f) / 4
Then substitute in the second equation:
41/2 f + 6 · (6 - 3f) / <span>4 = 9
41/2 f + 9 - 9/2 f = 9
16 f = 0
f = 0
Now, substitute this value in the formula found for a:
</span>a = (6 - 3·0) / <span>4
= 3/2 = 1.5
Hence, the cups of dried fruit are free and 1 cup of almond costs 1.5$</span>