(length of the foot) = 0.860 • (length of the forearm) + 3.302
If you let y = length of the foot and x = length of the forearm, this equation can be simplified to
y = 0.860x + 3.302.
Using this equation, how long would the foot of a person be if his forearm was 17 inches long?
B. What is the rate of change of the equation from Part A?
Compare the equation from Part A to your data. Are they the same? Which has a greater rate of change? Why do you think the values are different?
C. Is the relation in your data a function? Why or why not? Could the equation in Part A represent a function? Why or why not? Explain your answer.
Step-by-step explanation:
Part A:
y=0.860x + 3.302
y= 0.860(17) + 3.302
y= 14.62 + 3.302
y= 17.922
Part B:
step 1
y=0.860x + 3.302
y= 0.860(17) + 3.302
y= 14.62 + 3.302
y= 17.922
step 2
y=0.860x + 3.302
y= 0.860(18) + 3.302
y= 15.48 + 3.302
y= 18.782
step 3
18.782-17.922=.86
So, the rate of change is .86
Hope it helps!!
Answer:
Time for the entire practice is 2.25 or 2 1/4 hours
Step-by-step explanation:
According to the question the volley ball coach daily plan practice includes stretching , scrimmaging and she use the remaining practice time working on drills of specific skills.
let the entire time required for practice = y minutes
Stretching consumes 10 minutes, mathematically
stretching = 10 minutes
scrimmaging = 2/3 × y
Drills of specific skills = y - (2/3 × y) - 10 = 1/3 y - 10 minutes
On Wednesday she had
stretching + scrimmaging = 100 minutes
we all know her stretching daily timing is 10 minutes and scrimmaging timing is 2/3 × y
Therefore,
10 + 2/3 y = 100
100 - 10 = 2/3 y
90 = 2/3 y
multiply both sides by 3
90 × 3 = 2/3 y × 3
270 = 2 y
y = 135 minutes
since the answer is suppose to be in hours
60 minutes = 1 hour
135 minutes = ?
135/60 = 2.25 hours or 2 1/4 hours
Answer:
the answer is 36
Step-by-step explanation:
Just trust me
gas. What was the cost of one
gallon?
Answer:
$1.832380952
Step-by-step explanation:
Martin’s Gift Card
Days
2 4 5 7
Amount remaining 24.10 18.20 15.25 9.35
A.
y – 9.35 = −2.95(x – 7)
B.
y – 18.20 = 2.95(x + 4)
C.
y + 15.25 = −2.95(x + 5)
D.
y + 24.10 = 2.95(x – 2)
We want to see which linear equation represents the amount remaining on the gift card. We will see that the correct option is A:
y – 9.35 = −2.95(x – 7)
A linear equation in the point-slope form is written as:
y - y₁ = a*(x - x₁)
Where a is the slope of the line and (x₁, y₁) is a point on the line.
If we know two points on the line, (x₁, y₁) and (x₂, y₂) then we can write the slope as:
Here we can use the two first points:
(2, 24.10)
(4, 18.20)
Then the slope is:
Then the equation is something like:
y - y₁ = -2.95*(x - x₁)
Now, from the given options the only one where (x₁, y₁) is a point on the line is the first option, where:
x₁ = 7
y₁ = 9.35
So the correct option is A:
y – 9.35 = −2.95*(x – 7)
If you want to learn more, you can read: