Question

1. function p gives the perimeter of an equilateral triangle of side length s. it is represented by the equation ( p(s) = 3s ).

a. what does ( p(s) = 60 ) mean in this situation?
b. find a value of s to make the equation ( p(s) = 60 ) true.

1. function g takes a students first name for its input and gives the number of letters in the first name for its output.

a. describe the meaning of ( g(\text{jada}) = 4 ).
b. find the value of ( g(\text{diego}) ).
(from unit 4, lesson 2)

1. w gives the weight of a puppy, in pounds, as a function of its age, t, in months.

describe the meaning of each statement in function notation.
a. ( w(2) = 5 )

Explanation:

3.

a.

Given \(P(s) = 3s\) where \(P(s)\) is the perimeter of an equilateral triangle with side length \(s\). When \(P(s)=60\), it means that the perimeter of the equilateral triangle is 60 units and the side length \(s\) is related to this perimeter by the formula \(P(s) = 3s\).

Step1: Substitute \(P(s)\) with 60 in the formula

Given \(P(s)=3s\) and \(P(s) = 60\), we substitute to get \(60=3s\).

Step2: Solve for \(s\)

Divide both sides of the equation \(60 = 3s\) by 3. Using the formula \(\frac{60}{3}=\frac{3s}{3}\).

Since function \(G\) takes a student's first - name as input and gives the number of letters in the first - name as output. For \(G(\text{Jada}) = 4\), the input is the name "Jada" and the output is 4.

Answer:

The perimeter of the equilateral triangle is 60 units.

b.