Create a problem, based on a real-life situation, that can be represented using the algebraic expression 2x + 6. Solve your problem.
drinks are $2 each at a club that has a $6 cover charge.
Problem: You want to buy some oranges for a school event. You go to the grocery store and find that each orange costs $2. To determine the total cost of buying x oranges, you can use the algebraic expression 2x + 6. Solve the problem to find the total cost of buying 10 oranges.
Solution:
To find the total cost of buying 10 oranges, we can substitute x = 10 into the expression 2x + 6.
Substituting x = 10:
Total cost = 2(10) + 6
= 20 + 6
= 26
Therefore, the total cost of buying 10 oranges is $26.
Problem:
Maria is saving money to buy a new phone. She starts with $6 and decides to save $2 per day. She wants to know how much money she will have after x days.
Algebraic expression:
Let x represent the number of days.
The amount of money Maria will have after x days can be represented by the algebraic expression 2x + 6.
Solution:
To solve the problem, substitute the value of x into the expression.
Let's say Maria saves money for 10 days:
2(10) + 6 = 20 + 6 = 26
Therefore, after 10 days, Maria will have $26.