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Malik makes clay sculptures and ships them to buyers throughout the country. The function f(x)f(x) gives the cost, in dollars, of shipping a box that weighs xx pounds.\newlineWhat does f(7) < 10 tell you?\newlineChoices:\newline(A)It costs Malik less than $7\$7 to ship a box weighing 1010 pounds.\newline(B)It costs Malik less than $10\$10 to ship a box weighing 77 pounds.

Full solution

Q. Malik makes clay sculptures and ships them to buyers throughout the country. The function f(x)f(x) gives the cost, in dollars, of shipping a box that weighs xx pounds.\newlineWhat does f(7)<10f(7) < 10 tell you?\newlineChoices:\newline(A)It costs Malik less than $7\$7 to ship a box weighing 1010 pounds.\newline(B)It costs Malik less than $10\$10 to ship a box weighing 77 pounds.
  1. Given Inequality Interpretation: We are given the inequality f(7) < 10 and need to interpret its meaning in the context of shipping costs.\newlineThe function f(x)f(x) represents the cost of shipping a box that weighs xx pounds. Therefore, f(7)f(7) represents the cost of shipping a box that weighs 77 pounds.\newlineThe inequality f(7) < 10 tells us that the cost of shipping a box that weighs 77 pounds is less than $10\$10.
  2. Matching with Choices: Now we need to match our interpretation with the given choices.\newlineChoice (A) states "It costs Malik less than $7\$7 to ship a box weighing 1010 pounds," which is not consistent with our interpretation because the weight and cost are reversed.\newlineChoice (B) states "It costs Malik less than $10\$10 to ship a box weighing 77 pounds," which matches our interpretation of the inequality f(7) < 10.

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