4d = 1/3
Answer:
y=mx+c
We have to find the value of m and c.
Let's substitute the value of x and y from the table.
When x=1, y=15,
15= m(1)+c
m +c= 15 ------(1)
Now substitute another set of x and y values.
When x=2, y=24,
24= m(2)+c
2m +c= 24
c= 24 -2m ------(2)
Let me rewrite the two equations so that it is clearer for you to see.
m + c= 15 -----(1)
c = 24 -2m -----(2)
subst. (2) into (1):
m+ 24-2m= 15
-m= 15-24 (bring constants to 1 side, m terms to the other)
-m= -9 (simplify)
m= 9 ( divide by -1 throughout)
subst. m=9 into (2):
c= 24 -2(9)
c= 24-18
c= 6
Thus, the equation is y=9x+6.
When the cat is 3 years old, x=3.
When x=3,
y= 9(3)+6
y= 33.
Hence, the cat is 33 years old in human years.
The equation represents the pages after x nights.
Wren:
12 + 4x
Jenni:
4 + 5x
After 8 nights Wren and Jenni will be on the samepage of the book.
An equation is a mathematical statement that is made up of two expressions connected by an equalsign.
We have,
Wren and Jenni are reading the same book.
Wren is on page 12 and reads 4 pages every night.
This can be written as an equation.
12 + 4x _____(1)
x = number of nights.
Jenni is on page 4 and reads 5 pages every night.
This can be written as an equation.
4 + 5x _______(2)
x = number of nights.
The number of nights after which both of them will be on the samepage.
From (1) and (2) we get,
12 + 4x = 4 + 5x
12 - 4 = 5x - 4x
8 = x
x = 8
Thus,
The equation represents the pages after x nights.
Wren:
12 + 4x
Jenni:
4 + 5x
After 8 nights Wren and Jenni will be on the samepage of the book.
Learn more about equations here:
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