Chapter SH, Problem 1.6MPS

(a)

To determine

To calculate:To write an equation that can be used to find the pounds of bamboo $p$ that a panda will eat in any number of days $d$ when a panda eats $240$ pounds of bamboo every $3$ days.

Answer to Problem 1.6MPS

The equation that represents the $p$ pounds of bamboo that a panda will eat in days $d$ is$p=80d$

Explanation of Solution

Given information:

A panda eats $240$ pounds of bamboo every $3$ days

Calculation:

A panda eats $240$ pounds of bamboo every $3$ days

Thus, in $1$ day a panda eats $\frac{240}{3}$ pounds of bamboo, i.e.,

In $1$ day, a panda eats $80$ pounds of bamboo.

So, the pounds of bamboo $p$ that a panda will eat in any number of days $d$ will be given by:

  $p=80d$

Conclusion:

Pounds of bamboo $p$ that a panda will eat in any number of days $d$ will be given by:

  $p=80d$

(b)

To determine

To calculate:To make a function table to find the pounds of bamboo a panda will eat in $5,7,10,13$ days when a panda eats $240$ pounds of bamboo every $3$ days.

Answer to Problem 1.6MPS

The functional table is:

Days	Pounds of bamboo
$5$	$400$
$7$	$560$
$10$	$800$
$13$	$1040$

Explanation of Solution

Given information:

Number of days $=$$5,7,10,13$

Calculation:

The function table that represents a panda eating in $5,7,10,13$ days is:

From Sub-part (a), the equation to represent pounds of bamboo $p$ that a panda will eat in any number of days $d$ is given by:

  $p=80d$

For $5$ days, panda will eat = $80\times 5$ pounds of bamboo

For $5$ days, panda will eat = $400$ pounds of bamboo

For $7$ days, panda will eat = $80\times 7$ pounds of bamboo

For $7$ days, panda will eat = $560$ pounds of bamboo

For $10$ days, panda will eat = $80\times 10$ pounds of bamboo

For $10$ days, panda will eat = $800$ pounds of bamboo

For $13$ days, panda will eat = $80\times 13$ pounds of bamboo

For $13$ days, panda will eat = $1040$ pounds of bamboo

Thus, the functional table is:

Days	Pounds of bamboo
$5$	$400$
$7$	$560$
$10$	$800$
$13$	$1040$

Conclusion:

The functional table is:

Days	Pounds of bamboo
$5$	$400$
$7$	$560$
$10$	$800$
$13$	$1040$

(c)

To determine

To calculate: To graph the ordered pairs for pounds of bamboo a panda will eat in $5,7,10,13$ days when a panda eats $240$ pounds of bamboo every $3$ days.

Answer to Problem 1.6MPS

The graph is:

Explanation of Solution

Given information:

Number of days $=$$5,7,10,13$

Calculation:

The function table that represents a panda eating in $5,7,10,13$ days is:

From Sub-part (b), the function table that represents a panda eating in $5,7,10,13$ days is given as:

Days	Pounds of bamboo
$5$	$400$
$7$	$560$
$10$	$800$
$13$	$1040$

Plotting the above points on a graph, we have:

Conclusion:

The graph is: