Choose the function represented by the data. The park board has a template for new parks that is 20
yards wide and 30 yards long. To customize the
template to a specific piece of land, a uniform border is
added around the template. The area of the land, f(x),
where x is the width of the uniform border, in miles, is
shown in the table.
O f(x) = 150x3 + 554
O f(x) = 100x3 + 250x + 354
O f(x) = 4x2 + 700
O f(x) = 4x2 + 100x + 600
х
1
2
3
4
5
704
816
936
1,064
1.200

f(x) = 4x² + 100x + 600 represents the function of the area.

Step-by-step explanation:

We are given that the area of the land is f(x) where x is the width of the uniform border, in miles.

Now, from the functions in the options given, let's try f(1) & f(2)for each of them;

f(1) for 150x³ + 554 is;

150(1³) + 554 = 150 + 554 = 704

For f(2);

150(2³) + 554 = 1200 + 554 = 1754

f(1) = 704 tallies with the given value of 704 but f(2) = 1754 does not tally with the given value of 816, thus, 150x³ + 554 does not represent the function of the area

For f(1) into 100x³ + 250x + 354, it gives;

f(1) = 100(1³) + 250(1) + 354

f(1) = 100 + 250 + 354

f(1) = 350 + 354

f(1) = 704

For f(2);

f(2) = 100(2³) + 250(2) + 354

f(2) = 800 + 500 + 354

f(2) = 1654

f(1) = 704 tallies with the given value of 704 but f(2) = 1654 does not tally with the given value of 816, thus, 100x³ + 250x + 354 does not represent the function of the area.

For f(1) into 4x² + 700:

f(1) = 4(1²) + 700

f(1) = 4 + 700

f(1) = 704

f(2) = 4(2²) + 700

f(2) = 16 + 700

f(2) = 716

f(1) = 704 tallies with the given value of 704 but f(2) = 716 does not tally with the given value of 816, thus, 4x² + 700 does not represent the function of the area.

For f(x) = 4x² + 100x + 600:

f(1) = 4(1²) + 100(1) + 600

f(1) = 4 + 100 + 600

f(1) = 704

f(2) = 4(2²) + 100(2) + 600

f(2) = 16 + 800

f(2) = 816

f(1) = 704 tallies with the given value of 704 and f(2) = 816 also tallies with the given value of 816, thus, 4x² + 100x + 600 represents the function of the area.

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)