Question

1. draw a diagram that represents the situation

the number of people in a town has increased by 50% in the past decade

1. write a story that matches the diagram
2. draw a diagram that represents this situation

the amount of paper that the copy shop used this month decreased by 20% compared to what they used last month

1. a new video game costs $60 on the day it gets released. the price of a new game generally drops by about 12% within a few weeks. what will the price of this new game be a few weeks after release? show or explain your thinking
2. jada and braylen both wrote an equation to represent an increase of 3%. where x represents the amount before the increase and y represents the new amount

jada wrote the equation y = lr + 0.03x. braylen wrote the equation y = 1.03x
whose equation is correct? circle one
jada braylen both neither
explain your thinking

Explanation:

Step1: Analyze Jada's Equation

Jada's equation is \( y = 1x + 0.03x \). Simplify this: \( y=(1 + 0.03)x=1.03x \). This represents a 3% increase (since 0.03 is 3% of 1, and we add it to the original \( x \), so the multiplier is \( 1 + 0.03 = 1.03 \)).

Step2: Analyze Braylen's Equation

Braylen's equation is \( y = 1.03x \). This is the standard form for a 3% increase: if \( x \) is the original amount, a 3% increase means the new amount \( y \) is \( x + 0.03x=(1 + 0.03)x = 1.03x \).

Step3: Compare Equations

Both equations simplify to \( y = 1.03x \), so both are correct.

Answer:

Both