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Algebra - Equations

1)Richard's GPA is 3.7, and he made the following statement recently, "I have earned 110 credits from my college, and I earned at least an A- in each case." An A is equivalent to 4.0 and an A- is equivalent to 3.67. How many of the credits were A, and how many of the credits were A-?
(To earn full credit, you need to formulate the two equations.)

Assume x is number of credits of A, and assume y is the number of credits of A-:

2)Find the equation of the line that contains (0, 4) and perpendicular to y= 1/2x+2

3)David is planning to sell his house which he bought in 1997 for $150,000, and he wants to make at least $80,000. The realtor's commission is 7% of the sale price of the house. What is the minimum sale price he should set for the house?
(To earn full credit, you need to formulate an inequality.)

Assume x is the minimum sale price he should set for the house:

Solution Preview

(1) The two equations are x + y = 110 and 4x + 3.67y = 3.7 * 110

x + y = 110 means y = 110 - x

4x + 3.67y = 407

4x + 3.67(110 - x) = 407

4x - ...

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