In Problems 9–18, translate each sentence into a mathematical equation. Be sure to identify the meaning of all symbols.9. Geometry The area of a circle is the product of the numberp and the square of the radius.10. Geometry The circumference of a circle is the product ofthe number p and twice the radius.11. Geometry The area of a square is the square of the length ofa side.12. Geometry The perimeter of a square is four times the lengthof a side.13. Physics Force equals the product of mass and acceleration.14. Physics Pressure is force per unit area.15. Physics Work equals force times distance.16. Physics Kinetic energy is one-half the product of the massand the square of the velocity.17. Business The total variable cost of manufacturingx dishwashers is $150 per dishwasher times the number ofdishwashers manufactured.18. Business The total revenue derived from sellingx dishwashers is $250 per dishwasher times the number ofdishwashers sold
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
In Problems 9–18, translate each sentence into a mathematical equation. Be sure to identify the meaning of all symbols.
9. Geometry The area of a circle is the product of the number
p and the square of the radius.
10. Geometry The circumference of a circle is the product of
the number p and twice the radius.
11. Geometry The area of a square is the square of the length of
a side.
12. Geometry The perimeter of a square is four times the length
of a side.
13. Physics Force equals the product of mass and acceleration.
14. Physics Pressure is force per unit area.
15. Physics Work equals force times distance.
16. Physics Kinetic energy is one-half the product of the mass
and the square of the velocity.
17. Business The total variable cost of manufacturing
x dishwashers is $150 per dishwasher times the number of
dishwashers manufactured.
18. Business The total revenue derived from selling
x dishwashers is $250 per dishwasher times the number of
dishwashers sold
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