The length of the sides of a square are initially 0 cm and increase at a constant rate of 9 cm per second. a. Write a formula that expresses the side length of the square, s (in cm), in terms of the number of seconds, t, since the square's side lengths began growing. 9t Preview b. Write a formula that expresses the area of the square, A (in cm-), in terms of the square's side length, s (in cm). A s^2 Preview || c. Write a formula that expresses the area of the square, A (in cm?), in terms of the number of seconds, t, since the square started growing. A = 9t^2 Preview d. Suppose the function f determines the area of the square (in cm²) given a number of seconds, t, since the square started growing. Write a function formula for f. f(t) Preview

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter10: Quadratic Equations
Section10.4: Solve Applications Modeled By Quadratic Equations
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The length of the sides of a square are initially 0 cm and increase at a constant rate of 9 cm per second.
a. Write a formula that expresses the side length of the square, s (in cm), in terms of the number of seconds, t, since the square's side lengths
began growing.
9t
Preview
b. Write a formula that expresses the area of the square, A (in cm-), in terms of the square's side length, s (in cm).
A
s^2
Preview
||
c. Write a formula that expresses the area of the square, A (in cm?), in terms of the number of seconds, t, since the square started growing.
A =
9t^2
Preview
d. Suppose the function f determines the area of the square (in cm²) given a number of seconds, t, since the square started growing. Write a
function formula for f.
f(t)
Preview
Transcribed Image Text:The length of the sides of a square are initially 0 cm and increase at a constant rate of 9 cm per second. a. Write a formula that expresses the side length of the square, s (in cm), in terms of the number of seconds, t, since the square's side lengths began growing. 9t Preview b. Write a formula that expresses the area of the square, A (in cm-), in terms of the square's side length, s (in cm). A s^2 Preview || c. Write a formula that expresses the area of the square, A (in cm?), in terms of the number of seconds, t, since the square started growing. A = 9t^2 Preview d. Suppose the function f determines the area of the square (in cm²) given a number of seconds, t, since the square started growing. Write a function formula for f. f(t) Preview
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