Answer:
D) 8 movies and 1 video game
Explanation:
We are given that Lane has a gift card worth $300 for a local entertainment store.
Cost of 1 movie = $20
Cost of 1 video game = $50
In order to use the gift card, Lane must purchase at least seven items
A) 01 movie and 6 video games
Cost of 1 movie = $20
Cost of 6 video game =
![50 * 6 = 300](https://img.qammunity.org/2021/formulas/mathematics/middle-school/53g9j1brw5sycobn963n2jpa38k6rtzc66.png)
Total cost = 300+20 = 320
Since Lane has a gift card worth $300 , So Lane could not purchase 01 movie and 6 video games using his gift card
B) 2 movies and 4 video games
We are given that she must purchase at least seven items
So, She could not buy 2 movies and 4 video games
C)6 movies and 5 video games
Cost of 6 movie =
![20 * 6 =120](https://img.qammunity.org/2021/formulas/mathematics/middle-school/gj7251mk267iutbejd9sdmzp9ww09m6pqj.png)
Cost of 5 video game =
![50 * 5= 250](https://img.qammunity.org/2021/formulas/mathematics/middle-school/vwom2jolyu7y3ersqccychzv9e61s7al9v.png)
Total cost = 250+120=370
Since Lane has a gift card worth $300 , So Lane could not purchase 06 movie and 5 video games using his gift card
D) 8 movies and 1 video game
Cost of 8 movie =
![20 * 8 =160](https://img.qammunity.org/2021/formulas/mathematics/middle-school/f9b9jgk9qjj1mr1tfdht9i6s9659fo1axw.png)
Cost of 1 video game = 50
Total cost = 160+50=210
So, she could purchase 8 movies and 1 video game