Tyler is having a party at a local recreational center. The normal price to rent the space is $10.00 per adult and $5.50 per child and $15 per hour. The center agrees to rent the space for half the normal price because Tyler's father works at the center. A total of 4 adults and 16 children are going to the party. The party is planned to last 5 hours. What is the total price to rent the space for the party?

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

5050 i think

step-by-step explanation: