Solve the problem.
-A rectangular sign is being designed so that the length of its base, in feet, is 10 feet less than 4 times the height, h. Express the area of the sign as a function of $h$.
A) $\mathrm { A } ( \mathrm { h } ) = - 10 \mathrm {~h} + 4 \mathrm {~h} ^ { 2 }$
B) $A ( h ) = - 10 h + h ^ { 2 }$
C) $\mathrm { A } ( \mathrm { h } ) = 10 \mathrm {~h} - 2 \mathrm {~h} ^ { 2 }$
D) $A ( h ) = - 10 h ^ { 2 } + 2 h$

Question

Quizplus · Accepted Answer

The area of the rectangle is given by the formula $A = \text{length} \times \text{height}$. According to the problem, the length is $4h - 10$, where $h$ is the height. Therefore, the area as a function of $h$ is $A(h) = (4h - 10)h = 4h^2 - 10h$.

Solve the Problem hhh A) A(h)=−10 h+4 h2\mathrm { A } ( \mathrm { h } ) = - 10 \mathrm {~h} + 4 \mathrm {~h} ^ { 2 }A(h)=−10 h+4 h2

Solve the Problem $h$
A) $\mathrm { A } ( \mathrm { h } ) = - 10 \mathrm {~h} + 4 \mathrm {~h} ^ { 2 }$