Answer:
<u>In week 20, Seth will have 80 cards and Matt will have 60.</u>
Step-by-step explanation:
Let's find out the amount of cards that Math and Seth will have in week 20, using the information shown in the graph and table:
Amount of cards Seth has in week 20 = 20 * 4 = 80
The equation to find out the amount of cards, c, Seth has in week w:
c = 4w
Amount of cards Matt has in week 20 = 20 + (2 * 20) = 20 + 40 = 60
The equation to find out the amount of cards, c, Matt has in week w:
c = 20 + 2w
<u>In week 20, Seth will have 80 cards and Matt will have 60.</u>
Answer:
us set up the following variables:
⎧
⎪
⎪
⎪
⎪
⎨
⎪
⎪
⎪
⎪
⎩
l
Length of Rectangle (cm)
w
Width of Rectangle (cm)
A
Area of Rectangle (
c
m
2
)
t
Time (s)
We are told that:
d
l
d
t
=
8
cm/s (const), and,
d
w
d
t
=
3
cm/s (const)
The Area of the rectangle is:
A
=
l
w
Differentiating wrt
t
(using the product rule) we get;
d
A
d
t
=
(
l
)
(
d
w
d
t
)
+
(
d
l
d
t
)
(
w
)
∴
d
A
d
t
=
3
l
+
8
w
So when
l
=
20
and
w
=
10
⇒
d
A
d
t
=
3
⋅
20
+
8
⋅
10
∴
d
A
d
t
=
60
+
80
∴
d
A
d
t
=
140
cm
A variable is the letter next to a number such as x. (ex. 6y) the y would be the variable.
a product is the number you get at the end of the expression
