A new automobile company plans to manufacture 9 cars every month. It will first fill an overseas order for 10 cars and then send the rest to showrooms in New York.Let m represent the number of months and c represent the total number of cars sent to New York.This relationship can also be shown in a table. Complete the equation that represents the relationship between m and c.m c6 447 538 629 71c=
Question
A new automobile company plans to manufacture 9 cars every month. It will first fill an overseas order for 10 cars and then send the rest to showrooms in New York.Let m represent the number of months and c represent the total number of cars sent to New York.This relationship can also be shown in a table. Complete the equation that represents the relationship between m and c.m c6 447 538 629 71c=
Solution
The equation that represents the relationship between m (months) and c (total number of cars sent to New York) can be derived from the information given.
First, we know that the company manufactures 9 cars every month. However, the first 10 cars are sent overseas. So, the number of cars sent to New York each month is 9 cars - 10 cars for the first month, and then just 9 cars for every month after that.
This can be represented by the equation c = 9m - 10.
Let's check this equation with the values given in the table:
For m = 6, c = 96 - 10 = 44. This matches the value in the table. For m = 7, c = 97 - 10 = 53. This matches the value in the table. For m = 8, c = 98 - 10 = 62. This matches the value in the table. For m = 9, c = 99 - 10 = 71. This matches the value in the table.
So, the equation c = 9m - 10 correctly represents the relationship between m and c.
Similar Questions
A new automobile company will manufacture 11 cars every month. It will first fill an overseas order for 8 cars and will send the rest to showrooms in New York.Let m represent the number of months and c represent the total number of cars sent to New York.Use the equation c=11m–8 to find the value of c when m=2.c=Submit
An electronics store ships 77 computers in each delivery truck.Let t represent the number of delivery trucks and c represent the total number of computers shipped.Complete the table using the relationship between t and c.t c1 3 2315 7
A furniture company plans to have 26 employees at its corporate headquarters and 24 employees at each store it opens.Let s represent the number of stores and m represent the total number of employees.Complete the table using the relationship between s and m.s m1 3 4 9
Linda has 24 cars available to rent.Let C be the number of cars she would have left after renting R of them.Write an equation relating C to R. Then use this equation to find the number of cars she would have left after renting 8 of them.
The owner of a restaurant buys sets of tables and chairs. She buys 6 chairs for each table.Which equation shows the relationship between t, the number of tables, and c, the number of chairs?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.