b) If John saved $40 per month instead of $20, how would you expect the slope of the graph to change? Explain.
a) The number of months for the saving of $300 will be 14¹/₂.
b) The slope of the saving of $40 will be y = 40 x + 10
An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that John is going to start saving $20 every month to buy a new iPod. His parents gave him $10 for his birthday to open his savings account. The equation y = 20x + 10 represents John’s savings account balance x months after he began saving.
Part (a),
The number of the months will be calculated as,
y = 20x + 10
300 = ( 20 x + 10 )
290 = 20x
x = 14¹/₂ months
Part(b),
The slope will be 40 for the saving of $40.
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Answer A: It would take fifteen months, or one year and three months, to get three hundred dollars.
Answer B: It would take seven and a half months to get three hundred dollars at this rate. It would also change the slope by making it go down more.
Step-by-step explanation:
Three hundred divided by twenty equals fifteen, which represents the amount of months.
If you do the same thing with the other ratio, but change twenty to forty, you get seven and a half.
Have a nice day!
Answer: f(3) = 7
Step-by-step explanation:
f(3) = 5(3) - 8
15 - 8
f(3) = 7
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What is the value of when ?
If you want to find to find the value of , you will have to substitute the value in the function. And at last, you will evaluate. After you evaluate, you will get the answer.
Hope this helps!
5/7+x; where x is not equal to -7
5/7x; where x is not equal to 0
5/7
A.
{3}
B.
{3, –3}
C.
{9, –9}
D.
{9}
the linear relationship. *
Given :
The temperature of a pot of water is 62 F .
The temperature increases by 20 F per minute when being heated .
To Find :
Write an equation to represent the linear relationship.
Solution :
Here , the temperature is increasing directly with the time .
Therefore , it is a linear equation .
Let temperature varies with as :
T = at+b .... equation 1 .
( Here , a and b are constants )
Now , at t= 0 min .
Now , after 1 min temperature will be , T = 62 +20 =82 F
Putting value of a ans b in equation 1 , we get :
Hence , this is the required relation .
b. Mean, median and mode are approximately equal
c. Mean > Median
d. Median > Mean