After jogging for 35 seconds, he passes a boulder he know is 220 feet in front of his home. After two and a half minutes he passes a tree that he knows is 680 feet from his home.
Let x be the time taken in seconds
Let y be the distance from the home
After jogging for 35 seconds, he passes a boulder he know is 220 feet in front of the home. so x is 35 seconds and y is 220. (35,220)
After two and a half minutes he passes a tree that he knows is 680 feet from his home. so x is 150 second and y is 680. (150, 680)
Hare runs at constant rate so equation is y= mx + b
To frame the equation we need to find out slope 'm' and 'b'
(35,220) and (150, 680)
Slope m =
m =
m= 4 feet per second
so y= 4x +b
Now we find out b using (35,220)
220= 4(35) +b
80 = b
The required equation is y= 4x + 80
x is the time taken in seconds
y is the distance from the home in feet
4 represent speed of the hare.
Hare started jogging 80 feet from the home.
Answer:
D, 1500
Step-by-step explanation:
You plug it in by doing equation I= PRT
This means I=5000(5)(0.06)
I=25000(0.06)
I=1500
Answer:
X
>
6
Step-by-step explanation:
by simplifying both sides of the inequality, then isolating the variable.
9514 1404 393
Answer:
(a) linear
Step-by-step explanation:
When faced with determining functional relationships from tables, it is a good idea to look at the x-values (usually the first row) to see if they are sequential or have a common difference. Here, the numbers 1, 2, 3, 4 are consecutive, so have a common difference of 1.
Then, look at the y-values (usually the second row) to see if they have a common difference. Here, those numbers, too, are sequential: 4, 5, 6, 7, so have a common difference of 1.
__
When both x- and y-values have common differences, the table represents a linear function.
You have already determined the y-values have a common difference of 1, so you know choice C is inappropriate.
a. Linear: As x increases by 1, so does y.