Every

Every year the Nguyen's host a family picnic. They know that the cost for each person, s, varies inversely as n, the total number of people who attend the picnic. When 20 people attend the picnic, the cost for each person in $50. How much would the cost be per person if 15 people attend the picnic instead?

$66.7

Step-by-step explanation:

The equation for inverse proportion is calculated as xy=k.

When 20 people attend the picnic, the cost for each person was $50, then k will be= 20 × 50 = 1000

Recall that k = xy

For the second aspect of the question, x= 15, k= 1000.

k= xy

y = k/x

= 1000/15

= 66.7

If 15 people attend the picnic instead, the cost per person will be $66.7

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

70

step-by-step explanation: