Answer: S = 50W + 75
Step-by-step explanation:
I got to this answer by a bit of trial and error.
I first noticed that the relationship between the balance in the savings account from week to week was increasing by 50.
But when I tried W = S + 50, that did not work at all because when I plug in 125 for S, I should get 1 for W, but instead I get 175. So I realized I had something backwards.
I then tried listing the relationship as ordered pairs of (W, S).
For example I did (1, 125), (2, 175), (3, 275) and so on. So I thought of S like y and W like x where S is a function of W. I used the equation y = mx +b or S=mW + b as an outline. I figured that W would have to be multiplied by 50 to get that jump between the numbers in the S column. But I could not do S=50W + 125 because if W = 1, S = 175 when S should equal 125. So I subtracted 50 from the 125 and got 75. So my final equation was S=50W+75. If you test it with the ordered pairs listed above, you will see that the equation checks out. Try it yourself! I hope this was helpful in some way. Good luck!
One way ti find the common denominatir is to check ti see if ine denominator is a factor to the other deniminator if it is then the deniminator can be used as the common denominator when the two deniminators are the same compare the numerators
Judi's share was (7 x $2.50) = $17.50 .
That was really one share out of eight.
So the total bill was
(8 x $17.50) = $140.00 .
Answer:
Step-by-step explanation:
The sunflower then began to grow at a rate of 2 inches per week. This means that the rate of growth of the sunflower is in arithmetic progression. We would apply the formula for determining the nth term of an arithmetic sequence which is expressed as
Tn = a + d(n - 1)
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 = 25 inches
d = 2 inches
To determine the height after 7 weeks, T7
n = 7
T7 = 25 + 2(7 - 1)
T7 = 25 + 12
T7 = 37 inches
To determine the height after w weeks, Tw
n = w
Tw = 25 + 2(w - 1)
Tw = 25 + 2w - 2
Tw = 23 + 2w
