August 2014, Questions 27 and 28
27. Guy and Jim work at a furniture store. Guy is paid $185 per week plus 3% of his total sales in dollars, x, which can be represented by g(x) = 185 + 0.03x. Jim is paid $275 per week plus 2.5% of his total sales in dollars, x, which can be represented by f(x) = 275 + 0.025x. Determine the value of x, in dollars, that will make their weekly pay the same.
To find the value of x where both functions are the same, you can set them each to each other, and solve the equation.
185 + 0.03x = 275 + 0.025x
185 + 0.005x = 275
0.005x = 90
x = 90/0.005 = 18,000
If they both have sales of $18,000, their salaries will be equal.
If you want to check, put 18,000 into each function. Both will give you $725.
28. Express the product of 2x2 + 7x - 10 and x + 5 in standard form.
Use the Distributive Property. Then combine like terms, writing the terms starting with the highest exponent and going in descending order.
2x3 + 7x2 - 10x + 10x2 + 35x - 50
2x3 + 17x2 + 25x - 50
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