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4. A department store offers a rewards card for frequent customers. Every time a customer earns 100

or more points, the customer receives a gift certificate. Each purchase is worth 12 points, and customers

automatically earn 25 points when they sign up. Which inequalities could be solved to find the number of

purchases, p, that a customer needs to make in order to earn the first gift certificate? Select all the correct

answers.

A) 12p+ 25 <100

B) 12p+ 25 100

C) 12p+ 25 > 100

D) 12p-25 ≥100

E) 25 ≥100-12p

F) 12p≥ 100-25

Answer :

The inequality could be solved in order to get first gift certificate by customer is 12p≥100-25, So Option (F) is correct.

What is inequalities?

Inequalities is a mathematical term, Which we use for comparison of two unequal expressions, It simply means that both the expressions are not equal. we express inequalities by following symbols ">", "<"," ≤", "≥".

Suppose total purchase is, p

Each purchase is worth 12 points,

when customer sign up automatically earns 25 points,

And, when total sum of points will be more than 100 customer will receive a gift,

So sum of points for total purchase and points earned for sign up should be more than 100,

12p+25≥100.

Hence, 12p≥100-25

To know more about Inequalities check:

https://brainly.in/question/32888799

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