Chapter 11, Problem 6STP

To determine

To find: The amount of fat grams contained in 315-calorie.

Answer to Problem 6STP

The amount of fat grams value is $18$ . And the correct option is J.

Explanation of Solution

Calories	Fat Grams
$240$	$14$
$280$	$15$
$310$	$16$
$260$	$12$
$340$	$16$
$350$	$18$
$300$	$13$

Given:

Calculation:

The table of values is as follows.

Fat Grams	$14$	$15$	$16$	$12$	$16$	$18$	$13$
Calories	$240$	$280$	$310$	$260$	$340$	$350$	$300$

Assume that the model describe a linear function.

The objective is to find the amount of fat when the calories are $315$ .

Now, the constant value is calculated below.

  $\begin{array}{l}y=mx+b\\ 14=1\left(240\right)+b\\ \frac{14}{240}=b\end{array}$

The amount of fat is calculated below.

  $\begin{array}{l}y=315\times \frac{14}{240}\\ y\approx 18\end{array}$

Therefore, the value is $18$ . And the correct option is J.

Conclusion:

Therefore, the amount of fat grams value is $18$ . And the correct option is J.