2
QuizMultiple Choice

Operations with Multiple Functions — Quiz

Question 2 • Algebraic Reasoning

The table shows the cost in dollars, y , for shipping x number of chargers and electronic tablets. Number of Items Shipped, x Cost for Shipping Charger, y dollars Cost for Shipping Electronic Tablet, y dollars 1 2 point 5 0 3 point 5 0 2 4 point 0 0 5 point 5 0 3 5 point 5 0 7 point 5 0 4 7 point 0 0 9 point 5 0 Which function shows the combined cost in dollars, y , for three shipments with x number of chargers and tablets?

Answer
A
y is equal to 2 point 0 0 x plus 4 point 0 0
B
y is equal to 3 point 5 0 x plus 2 point 5 0
C
y is equal to 6 point 0 0 x plus 12 point 0 0
D
y is equal to 10 point 5 0 x plus 7 point 5 0

Explanation

The charger shipping cost increases by $1.50 per item, and its fixed cost is $1.00, so its function is y = 1.50x + 1.00. The tablet cost increases by $2.00 per item, with a fixed cost of $1.50, so its function is y = 2.00x + 1.50. Adding the costs gives y = 3.50x + 2.50, which is choice B.

AI-written and checked against the verified answer.

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