Answer:
Option b is correct.
Linear function ;
y =2x
Step-by-step explanation:
The formula y=f(x)=mx +c ......[1] is said to be a linear function. That means the graph of this function will be a straight line on the (x, y) plane, where m represents slope and b is the y-intercepts.
Consider any points from the table;
(1, 2) and (2, 4)
substitute these point in [1] we get;
for (1, 2)
⇒x = 1 and f(x) = 2 we have
2 = m + c
or
c = 2- m ......[1]
for (2, 4) we have;
4 = 2m + c .....[2]
Now, substitute equation [1] into [2] we get;
4 = 2m + 2 -m
Combine like terms;
4 = m + 2
Subtract 2 from both sides we get;
4 -2 = m +2 -2
Simplify:
2 = m or
m = 2
Substitute the value of m = 2 in [1] to solve for c;
c = 2 -2 = 0
c =0
⇒ y = 2x +0
y = 2x
therefore, the data in the table represents the Linear function and a possible formula for the linear function is; y = 2x
Answer:
2
Step-by-step explanation:
3/21=x/14
X=2
Answer is 2
The average speed of the student for his entire walk is equal to 1.5 m/s. Therefore, option (b) is correct.
What is the average speed?
The average speed of a body is calculated as the total distance traveled in a fixed interval of time. The average speed can be determined by dividing the total distance traveled by a body by the total time.
The average velocity is a single value if the object moves uniformly. Speed is a scalar quantity, it has no specified direction. The average speed has the S.I. unit the same as velocity i.e. m/s.
Given the distance covered by a student in first 80 sec = 100m
After stooping for 30sec again cover a distance of 200m in 90sec.
The total distance traveled by the student = 100 + 200 = 300m
The time taken by student to cover distance = 80 + 30 +90 = 200 sec
The average speed of the student = total distance/ total time taken
= 300/200 = 1.5 m/s
Therefore, the average speed of the student is equal to 1.5m/s.
Learn more about average speed, here:
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1.) Sales Price - Original Cost / Sales Price * 100 = Percentage Markup
2.) Now substitute the values:
Sales Price - Original Cost / Sales Price * 100 = Percentage Markup
$22.95 - $17.45 / $22.95 * 100 = Percentage Markup
$5.5 / 22.95 * 100 = Percentage Markup
. .2397 * 100 = 23.97%
3.) Therefore, the store uses 23.97% as Percentage Markup
