Lawrence, an attorney, charges an initial fee of $100 plus $75 per hour for a consultation. He typically charges clients either less than $250 or more than $700. Which inequality represents x, the typical number of hours
worked?
75x + 100 < 250 or 75x + 100 > 700
100x + 75 < 250 or 100x + 75 > 700
250 < 75x + 100 < 700
250 < 100x + 75 < 700

Step-by-step explanation:

This problem basically tests our understanding of representing word problems using inequalities and equations.

In the first instance, Lawrence can charge his client an amount that is less than $250, hence all terms to the right should not be greater $250 when executed.

Also, the second expression says that he can also charge more than $700 when hence all terms in the right-hand side should be greater than $700 when executed    

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)