Question

1. Pilar and her sister Marisol live near the beach. Pilar has 80 seashells in her collection when Marisol started collecting seashells. Marisol started with zero seashells in her collection. Pilar adds 10 seashells to her collection each week for x weeks. • Marisol adds 20 seashells to her collection each week for x weeks.

(a) Write an inequality to represent the situation when the number of seashells in Marisol's collection is greater than the number of seashells in Pilar's collection

(b) Solve the inequality in part (a) for the x. Show your work and explain your answer.​

Answer 1

(0 + 20x) > (80 + 10x)

Number of weeks > 8 weeks

Explanation:

Given the following :

Initial Pilar = 80 ; when marisol started, marisol had 0 then,

Pilar adds 10 each week for x weeks

Marisol adds 20 each week for x weeks

Pilar:

Initial + Increment * number of weeks

80 + (10)x

Marisol :

0 + 20x

When marisol will be greater than pilar's function

Marisol > pilar

A.) (0 + 20x) > (80 + 10x)

20x > 80 + 10x

20x - 10x > 80

10x > 80

x > 8

The number of seashells in marisol collection will be greater Than seashells in pilar's collection after 8, weeks