Question

Choose the graph that represents the time forwhich the velocity of the ball will be between -90and -58 ft/s.

Answer 1

`\begin{gathered} \text{Given} \\ -90<-32t-10<-58 \end{gathered}`

Add 10 to the left, middle, and right side of the inequality

`\begin{gathered} -90<-32t-10<-58 \\ -90+10<-32t-10+10<-58+10 \\ -80<-32t\cancel{-10+10}<-48 \\ -80<-32t<-48 \end{gathered}`

Divide the left, middle, and right side of the inequality by -32. (Note that division by negative, flips the inequality)

[tex]\begin{gathered} -80<-32t<-48 \\ \frac{-80}{-32}>\frac{-32t}{-32}>\frac{-48}{-32} \\ 2.5>t>1.5 \\ 1.5