Question

Part A

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.

А.

110 + 10x40x

OB 110 + 10x: 15x + 25

c 110 + 10x25x + 15

OD. 110x + 10; 40x

Part B

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

smallest number of visits =

Review progress

Answer 1

110 + 10x ; 40x

4

Explanation:

Given that:

For every visit to Arts museum:

Scenario 1:

Parking fee = $15

Admission fee = $25

Total amount for scenario 1:

If number of visits = x

Total cost = $(15 + 25) × number of visits

Total cost : $40x

With membership :

Price of membership = $110 (one time payment)

Parking fee = $10

Admission fee = $0

Let number of visits = x

Total cost :

Membership fee + (parking fee × number of visits)

$110 + ($10 * x)

= 110 + 10x

B) number of visits for which member cost is less than non-member cost :

Member cost = 110 + 10x

Non member cost = 40x

110 + 10x < 40x

10x - 40x < 110

-30x < 110

x > 3.67

Hence x = 4

Number of visits for which member cost is greater than non member cost is 4