APPLICATIONS 3. A square of an unknown side length x inches has one side length increased by 4 inches and the other increased
by 7 inches
(a) If the original square is shown below with side lengths marked as x, label the second diagram to represent
the new rectangle constructed by increasing
the sides as described above.
x
(b) Label cach portion of the second diagram with their areas in terms of x (when applicable). State the product
of (x + 4) and (x + 7) as a trinomial below.
(c) If the original square had a side length of x=2
inches, then what is the area of the second
rectangle? Show how you arrived at your
(d) Verify that the trinomial you found in part (b)
has the same value as (c) for x = 2.
answer

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation:

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step-by-step explanation:

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