An animal shelter conducts an annual fundraising drive. The animal shelter must raise at least enough money to cover their annual rental of $2,500 and weekly expenses of $450. So far, the shelter has received a one-time donation of $125 and pledged donations of $680 per week. Which inequality can be used to find w, the number of weeks it can take for the shelter to meet the goal?

125+680w≥2,500+450w

Step-by-step explanation:

From the information given, you can say that the money that is received as donation should be equal or higher to the money necessary to cover the annual expenses, which would be the following inequality:

125+680w≥2,500+450w

Then, you can solve for w:

680w-450w≥2,500-125

230w≥2,375

w≥2,375/230

w≥10.33

n

step-by-step explanation:

, 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