Each time henry visits the art museum he pays $15 for parking and $25 for admission. if he buys a membership for $110, parking will cost $10 and admission will be free. choose the two equations that represent the situation. a. y = 110 + 10x; y = 40x b. y = 110 + 10x; y = 15x + 25 c. y = 110 + 10x; y = 25x + 15 d. y = 110x + 10; y = 40x write an inequality that represents the number of museum visits for which the total member cost is less than the non-member cost. use the inequality to find the smallest number of visits that satisfies the inequality y=110+10x; y=40x

Part 1) Option A. y = 110 + 10x; y = 40x

Part 2) The smallest number of visits is equal to 4

Step-by-step explanation:

Part 1) Choose the two equations that represent the situation

Let

x ----> the number of museum visits

y ----> the total cost for the visit to the art museum

we know that

Non-member

Member

Part 2) Write an inequality that represents the number of museum visits for which the total member cost is less than the non-member cost

The inequality that represent the situation is

Solve for x

Rewrite

Round to the nearest whole number (Remember that the number of visits cannot be a decimal number)

therefore

The smallest number of visits is equal to 4

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.

f(x) is the value of the function. b is the value of the function when x equals zero or the y-coordinate of the point where the line crosses the y-axis in the coordinate plane.

step-by-step explanation:

hope this !