QuestionAt a dive-trrough restaurant, Casey's tamily ordered a small drink and medium drinks. Anika's family ordered m medium drinks and a large drink. Use the sign to answer questions .
Cick the ican to view the sign.
16. Write an algebraic expression that shows the total cost, in dollars, of both orders.
Choose the correct answer below
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17. Combine like tems to write an expression that is equivelent to the expression you wrote for question 16 .
The simplited expression is (Use the operation symbols in the math pelette as needed. Use whole numbers or decimals for any numbers in the of
Studdy Solution
STEP 1
1. We are given the prices for small, medium, and large drinks.
2. We need to create an algebraic expression for the total cost of both orders.
3. Casey's family ordered a small drink and medium drinks.
4. Anika's family ordered medium drinks and a large drink.
STEP 2
1. Write an algebraic expression for the total cost of Casey's family's order.
2. Write an algebraic expression for the total cost of Anika's family's order.
3. Combine the expressions to find the total cost of both orders.
4. Simplify the combined expression.
STEP 3
Write an algebraic expression for Casey's family's order. They ordered a small drink and medium drinks.
Let represent the number of medium drinks ordered by Casey's family. The cost is:
STEP 4
Write an algebraic expression for Anika's family's order. They ordered medium drinks and a large drink.
Let represent the number of medium drinks ordered by Anika's family. The cost is:
STEP 5
Combine the expressions for both families' orders to find the total cost:
This simplifies to:
STEP 6
Combine like terms to simplify the expression:
Combine the constant terms:
Combine the terms with :
The simplified expression is:
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