Question

3. Tickets to the aquarium are $11 for adults and $6 for children. An after-school program has a budget of $200 for a trip to the aquarium.If theboundary line in each graph represents the equation 11x + 6y = 200, whichgraph represents the cost constraint in this situation?*

Answer 1

we have that

x ----> number of adult tickets

y ----> number of child tickets

the linear equation is

11x+6y=200

To graph the line we need two points

Find out the intercepts

y-intercept (value of y when the value of x is zero)

For x=0

6y=200

y=33.33

y-intercept is (0, 33)

x-intercept (value of x when the value of y is zero)

For y=0

11x=200

x=18.18

x-intercept is (18,0)

therefore

the inequality that represents this situation is

`11x+6y\leq200`

the solution is the shaded area below the solid line

see the attached figure

the answer is the option C