Wesley makes clay sculptures and ships them to buyers throughout the country. The function f(x) gives the cost, in dollars, of shipping a box that weighs x pounds.What does f(7) < 10 tell you?Choices:(A)It costs Wesley less than $7 to ship a box weighing 10 pounds.(B)It costs Wesley less than $10 to ship a box weighing 7 pounds.
Q. Wesley makes clay sculptures and ships them to buyers throughout the country. The function f(x) gives the cost, in dollars, of shipping a box that weighs x pounds.What does f(7)<10 tell you?Choices:(A)It costs Wesley less than $7 to ship a box weighing 10 pounds.(B)It costs Wesley less than $10 to ship a box weighing 7 pounds.
Understand function f(x): Understand the function f(x) and what it represents.The function f(x) gives the cost, in dollars, of shipping a box that weighs x pounds. Here, x represents the weight of the box in pounds, and f(x) represents the shipping cost for that weight.
Interpret inequality f(7) < 10: Interpret the given inequality f(7) < 10. The inequality tells us that the cost of shipping a box that weighs 7 pounds is less than 10 dollars. This means that when we input 7 as the weight of the box into the function f(x), the output (the cost) is less than 10 dollars.
Match correct interpretation: Match the correct interpretation with the given choices.We have determined that f(7) < 10 means the shipping cost for a box weighing 7 pounds is less than 10 dollars. Now we need to choose the correct option that reflects this interpretation.Option (A) states "It costs Wesley less than $7 to ship a box weighing 10 pounds." This is incorrect because the weight of the box is 7 pounds, not 10, and the cost is less than $10, not $7.Option (B) states "It costs Wesley less than $10 to ship a box weighing 7 pounds." This is the correct interpretation of the inequality f(7) < 10.
More problems from Interpret functions using everyday language