Solve.Alice plans to sell hand-made jackets at a crafts fair for $90 each. A booth at the fair costs $13 to rent. Alice estimates her expenses for making each jacket to be $30, so her profit will be $60 per jacket.a. Write a function that expresses Alice's profit P as a function of the number of jackets sold.b. What is the implied domain of this linear function?c. What is the profit if Alice sells 25 jackets?d. Graph the linear function P(x).e. If Alice's profit is $1850, how many jackets did she sell? 
What will be an ideal response?
a. P(x) = 60x -130
b. [0, ?)
c. $1370;
d.
e. 33
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Solve the problem.Over a specified distance, speed varies inversely with time. If Joe can drive from his house to his office in 40 minutes at an average speed of 40 miles per hour, what average speed is needed to drive the same distance in half an hour? If necessary, round your answer to the nearest tenth.
A. 60 miles per hour B. 30 miles per hour C. 53.3 miles per hour D. 50 miles per hour
Solve the equation. Identify the equation as an identity, an inconsistent equation, or a conditional equation.
= 
+ 
A. Identity, {x
-1}
B. Conditional, {3}
C. Inconsistent, ?
D. Conditional, 
Solve the inequality and graph. Express your answer in interval notation.24x + 8 > 4(5x + 7)
A. [5, ?)
B. (-?, 5]
C. (-?, 5)
D. (5, ?)
Give a number that satisfies the given condition.A whole number greater than 3.5
What will be an ideal response?