Algebra - Set - 1 | ClassNotes

The function $h$ is defined by $h(x)=4x+28$. The graph of $y=h(x)$ in the $xy$-plane has an $x$-intercept at $(a,0)$ and a $y$-intercept at $(0,b)$, where $a$ and $b$ are constants. What is the value of $a+b$?

Difficulty: Medium

A:

21

B:

28

C:

32

D:

35

x y 181302316026178 For line $h$, the table shows three values of $x$ and their corresponding values of $y$. Line $k$ is the result of translating line $h$ down 5 units in the $xy$-plane. What is the $x$-intercept of line $k$?

Difficulty: Hard

A:

(-\frac{26}{3},0)

B:

(-\frac{9}{2},0)

C:

(-\frac{11}{3},0)

D:

(-\frac{17}{6},0)

An economist modeled the demand $Q$ for a certain product as a linear function of the selling price $P$. The demand was 20,000 units when the selling price was $\$40$ per unit, and the demand was 15,000 units when the selling price was $\$60$ per unit. Based on the model, what is the demand, in units, when the selling price is $\$55$ per unit?

Difficulty: Hard

A:

16,250

B:

16,500

C:

16,750

D:

17,500

Set - 1