Question

1. what is the correct y value to make the coordinate from statement b true? (5,y)? 1. this graph shows the amount of fabric in yards, f, that a designer needs to make p pairs of pants. which statement about this relationship is a lie? explain how you know. statement a: 1 pair of pants would require 2.5 yards of fabric. statement b: the line goes through the point (5,8). statement c: 15 yards of fabric could make 6 pairs of pants.

Explanation:

Step1: Find the equation of the line

Since the line passes through the origin \((0,0)\) and the point \((2,5)\), the slope \(m\) of the line is given by the formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Here, \(x_1 = 0,y_1=0,x_2 = 2,y_2 = 5\), so \(m=\frac{5 - 0}{2 - 0}=\frac{5}{2}=2.5\). The equation of the line in slope - intercept form \(y=mx + b\) (where \(b = 0\) since it passes through the origin) is \(f = 2.5p\).

Step2: Find the value of \(y\) when \(p = 5\)

Substitute \(p = 5\) into the equation \(f=2.5p\). Then \(f=2.5\times5 = 12.5\).

Answer:

12.5