PL A local car dealership is trying to sell all of the cars that are on the lot. Currently, there are 525 cars on the lot, and the general manager estimates that they will consistently sell 50 cars per week. Estimate how many weeks it will take for the number of cars on the lot to be fewer than 75.

A. Write an inequality that can be used to find the number of full weeks, w, it will take for the number of cars to be fewer than 75. Since w is the number of full or complete weeks, w=1 means at the end of week 1.

b. Solve and graph the inequality

inequalities taking care to interpret the solutions in the context of the problem.

New York State Common Core Math Grade 7, Module 3, Lesson 15

Download worksheets for Grade 7, Module 3, Lesson 15

Lesson 15 Student Outcomes

• Students graph solutions to inequalities taking care to interpret the solutions in the context of the problem.

Classwork

Exercise 1

1. Two identical cars need to fit into a small garage. The opening is 23 feet 6 inches wide, and there must be at least 3 feet 6 inches of clearance between the cars and between the edges of the garage. How wide can the cars be?

Example 1

A local car dealership is trying to sell all of the cars that are on the lot. Currently, it has 525 cars on the lot, and the general manager estimates that they will consistently sell 50 cars per week. Estimate how many weeks it will take for the number of cars on the lot to be less than 75.

Write an inequality that can be used to find the number of w full weeks. Since w is the number of full or complete weeks, when w = 1 means at the end of week 1.

Solve and graph the inequality.

Verify the solution.

Exercise 2

2. The cost of renting a car is $25 per day plus a one time fee of $75.50 for insurance. How many days can the car be rented if the total cost is to be no more than $525?

a. Write an inequality to model the situation.

b. Solve and graph the inequality.

c. Interpret the solution in the context of the problem.

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this

answer would be 8.64 or s = 11π/4 inches

step-by-step explanation:

s = r θ  

where s = arc length  

r = radius = 3 inches  

θ = central angle in radians = ( π /180)*165  

s = 3(π/180)*165  

= 8.64 inches