100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Exam (elaborations) Math 301 $7.99   Add to cart

Exam (elaborations)

Exam (elaborations) Math 301

 0 view  0 purchase
  • Course
  • Institution

Our notebooks can be used for a wide range of math subjects, including algebra, geometry, trigonometry, calculus, statistics, and more. You can also use them for physics, engineering, or other STEM-related fields

Preview 2 out of 9  pages

  • March 5, 2023
  • 9
  • 2022/2023
  • Exam (elaborations)
  • Questions & answers
avatar-seller
SAT MATH QUESTIONS AND SOLUTION
Question 1 :

P = 215(1.005)t/3

The equation above can be used to model the population, in thousands, of a
certain city t years after 2000. according to the model, the population is
predicted to increase by 0.5% every n months. what is the value of n ?

(A) 3 (B) 4 (C) 12 (D) 36

Answer :

0.5% = 0.5/100 = 0.005

It is given that the population (215) is predicted to increase by 0.5%. To
know the value after increment, 215 has to be multiplied by (1 + 0.005) or
1.005.

In the equation P = 215(1.005)t/3, the value of t/3 has to be equal to 1 for
0.5% increase.

t/3 = 1

t = 3 years

Convert years to months.

n = 3 ⋅ 12 months

n = 36 months

, The correct option is D.

Question 2 :

In the xy-plane, the graph of a linear equation of the form y = mx + b and
the graph of an exponential equation of the form y = ab x both contain points
(1, 3) and (2, 4). If the point (r, s) is on the graph of the linear equation and
the point (r, t) is on the graph of the exponential equation, where 0 < r < 4
and s > t, which of the following must be true?

(A) 0 < r < 1 (B) 1 < r < 2 (C) 2 < r < 3 (D) 3 < r < 4

Answer :

Linear equation y = mx + b contains (1, 3) and (2, 4).


4 = 2m + b ----(1) 3 = m + b ----(2)



Solving (1) and (2), we get

m = 1 and b = 2

Linear equation : y = x + 2.

Exponential equation y = abx contains (1, 3) and (2, 4).



3 = ab1 ----(3) 4 = ab2 ----(4)



Divide (4) by (3).

ab2/ab1 = 4/3

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller michealdavies. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for $7.99. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

76462 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 14 years now

Start selling
$7.99
  • (0)
  Add to cart