Jessica and Nancy are members of different video game libraries. Jessica pays a membership fee of $40, and she pays $5 for every
2 answers:
Answer:
Jessica pays $10 more than Nancy for membership fee.
Step-by-step explanation:
Jessica pays a membership fee of $40, and she pays $5 for every video game she rents.
So, we can write this as :
'x' is the number of games rented.
And equation for Nancy is :
If we look at the equations we can find that, the numbers 40 and 30 are constant i.e the membership fee.
And 5x and 4x are variable terms that change with the number of games rented.
So, Nancy's membership fee is $30. This is dollars less than Jessica.
Therefore, Jessica pays $10 more than Nancy for membership fee.
You might be interested in
Let's call:
f = price of 1 cup of dried fruit
a = price of 1 cup of almonds
In order to build the linear system, you need to consider that the total price of a bag is given by the sum of the price of cups times the number of cups in each bag, therefore:
Solve for a in first equation:
a = (6 - 3f) / 4
Then substitute in the second equation:
41/2 f + 6 · (6 - 3f) / <span>4 = 9
41/2 f + 9 - 9/2 f = 9
16 f = 0
f = 0
Now, substitute this value in the formula found for a:
</span>a = (6 - 3·0) / <span>4
= 3/2 = 1.5
Hence, the cups of dried fruit are free and 1 cup of almond costs 1.5$</span>
f = price of 1 cup of dried fruit
a = price of 1 cup of almonds
In order to build the linear system, you need to consider that the total price of a bag is given by the sum of the price of cups times the number of cups in each bag, therefore:
Solve for a in first equation:
a = (6 - 3f) / 4
Then substitute in the second equation:
41/2 f + 6 · (6 - 3f) / <span>4 = 9
41/2 f + 9 - 9/2 f = 9
16 f = 0
f = 0
Now, substitute this value in the formula found for a:
</span>a = (6 - 3·0) / <span>4
= 3/2 = 1.5
Hence, the cups of dried fruit are free and 1 cup of almond costs 1.5$</span>