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4vir4ik [10]
3 years ago
13

Write a function rule for the table.

Mathematics
2 answers:
olga nikolaevna [1]3 years ago
8 0

From the given table, we have two points : (1,29) and (2,47).

Now let us use slope formula to find the slope :

slope = \frac{y2-y2}{x2-x1}

slope = \frac{47-29}{2-1}

slope =18

Now we use point slope form to get the final equation.

Using point (1,29) and slope 18,

(y-y1)=m(x-x1)

(y-29)=18(x-1)

(y-29)=18x-18

y=18x+11

So final equation becomes c=18d +11


Softa [21]3 years ago
4 0
The answer is the Third solution.
example:
C = (18 × 2) + 11
C = 36 + 11
C = 47
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Maria received a $90 gift card for a coffee store. She used in buying some coffee that costs $7.81 per pound. After buying the c
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Each year for 4 years, a farmer increased the number of trees in a certain orchard by of the number of trees in the orchard the
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Answer:

The number of trees at the begging of the 4-year period was 2560.

Step-by-step explanation:

Let’s say that x is number of trees at the begging of the first year, we know that for four years the number of trees were incised by 1/4 of the number of trees of the preceding year, so at the end of the first year the number of trees wasx+\frac{1}{4} x=\frac{5}{4} x, and for the next three years we have that

                             Start                                          End

Second year     \frac{5}{4}x --------------   \frac{5}{4}x+\frac{1}{4}(\frac{5}{4}x) =\frac{5}{4}x+ \frac{5}{16}x=\frac{25}{16}x=(\frac{5}{4} )^{2}x

Third year    (\frac{5}{4} )^{2}x-------------(\frac{5}{4})^{2}x+\frac{1}{4}((\frac{5}{4})^{2}x) =(\frac{5}{4})^{2}x+\frac{5^{2} }{4^{3} } x=(\frac{5}{4})^{3}x

Fourth year (\frac{5}{4})^{3}x--------------(\frac{5}{4})^{3}x+\frac{1}{4}((\frac{5}{4})^{3}x) =(\frac{5}{4})^{3}x+\frac{5^{3} }{4^{4} } x=(\frac{5}{4})^{4}x.

So  the formula to calculate the number of trees in the fourth year  is  

(\frac{5}{4} )^{4} x, we know that all of the trees thrived and there were 6250 at the end of 4 year period, then  

6250=(\frac{5}{4} )^{4}x⇒x=\frac{6250*4^{4} }{5^{4} }= \frac{10*5^{4}*4^{4} }{5^{4} }=2560.

Therefore the number of trees at the begging of the 4-year period was 2560.  

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3 years ago
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