\( 1<\begin{array}{l}\text { A book contains the following recommended weight for kangaroo: "Give the kangaroo } 145 \text { pounds for the first } 5 \text { feet plus } 5 \\ \text { pounds for every inch over } 5 \text { feet tall." Using this description, what height corresponds to a recommended weight of } 200 \\ \text { pounds? }\end{array} \)

To find the height that corresponds to a recommended weight of 200 pounds, we first recognize that the initial 145 pounds is given for the first 5 feet (which equals 60 inches). Now, we can set up an equation based on the additional weight per inch: 1. The weight of the kangaroo after 5 feet is given by: \[ \text{Weight} = 145 + 5 \times (\text{Height in inches} - 60) \] 2. Setting this equal to 200 pounds: \[ 200 = 145 + 5 \times (\text{Height in inches} - 60) \] 3. Rearranging gives: \[ 200 - 145 = 5 \times (\text{Height in inches} - 60) \] \[ 55 = 5 \times (\text{Height in inches} - 60) \] \[ 11 = \text{Height in inches} - 60 \] \[ \text{Height in inches} = 71 \] 4. Converting inches to feet, we find: \[ \text{Height in feet} = \frac{71}{12} \approx 5.92 \text{ feet} \] In conclusion, the height that corresponds to a recommended weight of 200 pounds is approximately 5.92 feet!