Write in 0 and 0 at the top: this indicates that if there are zero pennies, the height of the tower is 0. This is the point (0,0). Another point is (4, 28): a tower of 28 pennies is 4 cm tall.
Find the slope of the line connecting (0,0) and (4,28).
4cm - 0 cm
m = ----------------- = (1/7) (cm/penny)
28 - 0
The equation we need, relating # of pennies to height of tower, is
t = (1/7) (cm/penny)x, where x is the # of pennies.
Thus, if x = 1, then t=1/7 cm
And, if x =15, then t = 15/7 cm
And so on.
Answer: the height in inches, of the pile after 3 weeks is 34 11/12 inches
Step-by-step explanation:
Each consecutive week for the next 5 weeks the height of pile increase by 8 7/12 inches. Converting 8 7/12 inches to improper fraction, it becomes 103/12 inches. The height is increasing in an arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 17 3/4= 71/4 inches
d = 103/12 inches
n = 3 weeks
the height in inches, of the pile after 3 weeks, T3. Therefore,
T3 = 71/4 + (3 - 1)103/12
T3 = 71/4 + 2 × 103/12 = 71/4 + 103/6
T3 = 419/12 inches = 34 11/12 inches
Answer:
its 2u^2-4u+5u-12
Step-by-step explanation:
D.The puppy gains approximately 0.25 pound each week.
<u>x = no. of weeks</u> in f(x) = 0.25x + 1.2
We can split this up into 3 rectangles. 2 vertical ones (8 x 3) and one horizontal one in the middle (5 x (8 - 5)
8 x 3 = 24
24 x 2 = 48
5 x (8-5) = 5 x 3 = 15
now add 48 + 15 = 63 cm^2
