Mateo 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)

Question

Mateo 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 Mateo less than $7 to ship a box weighing 10 pounds. (B)It costs Mateo less than $10 to ship a box weighing 7 pounds.

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Interpret Function at x=7: The inequality f(7) < 10 is given, where f(x) represents the cost of shipping a box that weighs x pounds. To understand what f(7) < 10 means, we need to interpret the function f at the value x = 7 and compare it to the number 10.Evaluate f(7): Substitute x = 7 into the function f(x) to evaluate f(7). Since we are not given the explicit form of the function f(x), we cannot calculate the exact value of f(7), but we can understand that f(7) represents the cost of shipping a box that weighs 7 pounds.Interpret Inequality f(7) < 10: The inequality f(7) < 10 tells us that the cost of shipping a box that weighs 7 pounds is less than $10. This is a direct interpretation of the inequality, where the left side is the cost of shipping and the right side is the dollar amount we are comparing it to.Compare Choices: Now, let's look at the choices given to determine which one correctly interprets the inequality f(7) < 10. (A) This choice suggests that it costs less than $7 to ship a box weighing 10 pounds, which is not what the inequality f(7) < 10 indicates. It has reversed the weight and the cost. (B) This choice suggests that it costs less than $10 to ship a box weighing 7 pounds, which correctly interprets the inequality f(7) < 10.

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