Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Nicholas started a canned-food drive at school. The equation representing this is [tex]\( y = 235x + 15 \)[/tex], where [tex]\( x \)[/tex] is the number of days, and [tex]\( y \)[/tex] is the number of cans collected.

Explain how to determine how many days it would take to collect 2600 cans.

Sagot :

GinnyAnswer
To determine how many days it would take for Nicholas to collect 2600 cans, we start with the given equation:

[tex]\[ y = 235x + 15 \][/tex]

Here, [tex]\( y \)[/tex] represents the total number of cans collected, and [tex]\( x \)[/tex] represents the number of days. We need to find the value of [tex]\( x \)[/tex] when [tex]\( y \)[/tex] is 2600.

1. Substitute [tex]\( y \)[/tex] with 2600 in the equation:
[tex]\[ 2600 = 235x + 15 \][/tex]

2. Isolate the term involving [tex]\( x \)[/tex]:
To do this, we first subtract 15 from both sides of the equation:
[tex]\[ 2600 - 15 = 235x \][/tex]
[tex]\[ 2585 = 235x \][/tex]

3. Solve for [tex]\( x \)[/tex]:
To find [tex]\( x \)[/tex], we divide both sides of the equation by 235:
[tex]\[ x = \frac{2585}{235} \][/tex]

4. Calculate the result:
Performing the division:
[tex]\[ x = 11 \][/tex]

Therefore, it would take 11 days for Nicholas to collect 2600 cans.
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.