Mr. Hudson is a car salesman. He makes a fixed amount of $1,000 a month and receives $250 for every car that he sells. Which inequality shows the number of cars, n, Mr. Hudson must sell in a month to earn a minimum of $6,000?

250n + 1,000 ≥ 6,000

Step-by-step explanation:

You know that he makes 250 dollars per car her sells and he automatically makes 1000 per month. n is representing the number of cars he sold and that is multiplied by the worth of each car. If he needs a MINIMUM of 6000 dollars. he must make 6000 dollars or more which can also be shown as ≥. Hope this helped!

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for