Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Consider the function represented by the equation [tex]6c = 2p - 10[/tex].

Write the equation in function notation, where [tex]c[/tex] is the independent variable.

A. [tex]f(c) = \frac{1}{3} p + \frac{5}{3}[/tex]
B. [tex]f(c) = 3c + 5[/tex]
C. [tex]f(p) = \frac{1}{3} p + \frac{5}{3}[/tex]
D. [tex]f(p) = 3c + 5[/tex]

Sagot :

GinnyAnswer
Sure! Let's convert the given equation [tex]\( 6c = 2p - 10 \)[/tex] into function notation. Here we are to express it with [tex]\( c \)[/tex] as the independent variable and rewrite the equation to represent a function of [tex]\( p \)[/tex].

1. Start with the given equation:
[tex]\[ 6c = 2p - 10 \][/tex]

2. To isolate [tex]\( p \)[/tex], we divide both sides of the equation by 2:
[tex]\[ 3c = p - 5 \][/tex]

3. Next, we solve for [tex]\( p \)[/tex] by adding 5 to both sides of the equation:
[tex]\[ 3c + 5 = p \][/tex]

4. Rewrite in function notation, where [tex]\( f(p) \)[/tex] represents [tex]\( p \)[/tex] in terms of [tex]\( c \)[/tex]:
[tex]\[ f(p) = 3c + 5 \][/tex]

Therefore, the function notation for the given equation [tex]\( 6c = 2p - 10 \)[/tex], where [tex]\( c \)[/tex] is the independent variable, is:
[tex]\[ f(p) = 3c + 5 \][/tex]
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.