Answer:
She will need
![1.68kg](https://img.qammunity.org/2019/formulas/mathematics/high-school/qgm9lvw3xu8vr2dq35bsmnc0qhpzy33auk.png)
Explanation:
The recipe says she needs 480 grams for 4 people.
For 14 people, we can write the following equation :
![(4people)/(480grams)=(14people)/(x)](https://img.qammunity.org/2019/formulas/mathematics/high-school/23aebi776cwu5or80b2ugf3n71l8sc2l8j.png)
We can do this because there is a linear relationship between the grams of pasta she needs to cook and the amount of people that will eat.That linear relationship is in the recipe.
Finding the value of x :
![x=((14people).(480grams))/(4people)=1680grams](https://img.qammunity.org/2019/formulas/mathematics/high-school/wldpvbqi6p8xqfvumx0c35n7ynxpzggxvv.png)
She will need 1680 grams. If we want the value in kilograms :
![(1680grams).((1kilogram)/(1000grams))=1.68kg](https://img.qammunity.org/2019/formulas/mathematics/high-school/t77mjq2wux2g0khzpa3s0j2zmdl39yjedh.png)
She will need
of pasta