Andre has a summer job selling magazine subscriptions. He earns $25 per week plus $3 for every subscription he sells. Andre hopes to make at least enough money this week to buy a new pair of soccer cleats. The least expensive pair of cleats Andre wants costs $68. a.) Write an inequality to find the number of subscriptions he needs to sell so that he can buy a pair of cleats.

b.) Solve the inequality from part (a).

c.) Interpret (what does it mean) and graph the solution.

68≥25+3x

x≥15

Step-by-step explanation:

the overall goal is to have $68, so the goal needs to be less then or equal to the weekly $25 plus each additional subscription at $3 (x represents the needed amount of subscriptions he sells) the inequality would look something like 68≥25+3x because he wants the money this week.

to solve the inequality you would subtract the 25 from the 68, leaving you with 43≥3x as the new inequality, now you need to divide both sides by 3. Which comes out to 14.33333 since we cant sell a fraction of a subscription you must round up giving you the new inequality of x≥15

this means that in order for Andre to get the cleats this week, he must sell at least 15 subscriptions

hope this helped

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