Mia has $50 on a gift card to her favorite coffee shop. Each time she visits the coffee shops she spends $3.75 on her favorite drink. Choose the equation that represents the relationship between x, the number of times she visits the coffee shop, and y, the total amount on her gift card.

Given:

Value of Gift card = $50

Each time she visits the coffee shops she spends $3.75 on her favorite drink.

To find:

The equation for the given situation.

Solution:

Let x be the number of times she visits the coffee shop, and y be the total amount on her gift card.

Cost of her favorite drink for one time = $3.75

Cost of her favorite drink for x times = $3.75x

Value of gift card is $50. So,

Amount on her gift card = 50 - Cost of her favorite drink for x times

Therefore, the required equation is .

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.