Question

SOMEONE ANSWER PLEASE!!!!!

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

Pilar started with 80 and adds 10 each week.

y= 10x + 80 (ten seashells • weeks + 80 she started with)

Marisol started with 0 and adds 20 each week.

y = 20x (no need to add + 0 because she started with nothing)

Inequality:

y = 10x + 80 < y = 20x

Weeks:

I would reccomend just plugging in numbers (for example if I put in 5 I would determine if it was too high or low then go to the next number.)

I plugged it into an online graph so I can’t show my work but the answer is 8 weeks.

Answer 2

Here, we are required to 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 and solve the inequality for x (i.e no. of weeks).

• The inequality is 20x >80+10x

• the number of seashells in Marisol's collection is greater than the number of seashells in Pilar's collection after 8weeks

For Marisol who started with zero seashells in her collection and adds 20 seashells per week,

• The no. of seashells in her collection after X weeks is: 20 x

For Pilar who started with 80 seashells in her collection and adds 10 seashells per week,

The no. of seashells in her collection after X weeks is: 80+10x

Therefore, when the number of seashells in Marisol's collection is greater than the number of seashells in Pilar's collection; we have;

• The inequality is 20x >80+10x

To determine after how many weeks (i.e x) when this happens; we solve for x in the inequality.

• Therefore, 20x - 10x > 80
• And, 10x > 80
• and X = 8

Consequently, the number of seashells in Marisol's collection is greater than the number of seashells in Pilar's collection after 8weeks.

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