Question
upstudy study bank question image url

The coffee shop Java Jive has prices that increase linearly based on the size of the coffee. The equation below gives the cost \( y \) of a \( x \)-ounce coffee. What size coffee has a cost of \( \$ 4.25 \) ? \( y=0.1 x+2.25 \)

Ask by Deleon Kelley. in the United States
Jan 24,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

A 20-ounce coffee costs \$4.25 at Java Jive.

Solution

To determine the size of the coffee that costs \$4.25 at Java Jive, we can use the given linear equation: \[ y = 0.1x + 2.25 \] Where: - \( y \) is the cost in dollars. - \( x \) is the size of the coffee in ounces. **Step 1: Set the equation equal to \$4.25** \[ 4.25 = 0.1x + 2.25 \] **Step 2: Subtract \$2.25 from both sides to isolate the term with \( x \)** \[ 4.25 - 2.25 = 0.1x \] \[ 2.00 = 0.1x \] **Step 3: Solve for \( x \) by dividing both sides by 0.1** \[ x = \frac{2.00}{0.1} = 20 \] **Conclusion:** A **20-ounce** coffee costs \$4.25 at Java Jive.

Reviewed and approved by the UpStudy tutoring team

error msg
Explain
Simplify this solution

The Deep Dive

To find the size of the coffee that costs \$4.25, we can set \( y = 4.25 \) in the equation \( y = 0.1x + 2.25 \). \[ 4.25 = 0.1x + 2.25 \] Now, let's solve for \( x \): 1. Subtract 2.25 from both sides: \[ 4.25 - 2.25 = 0.1x \] \[ 2 = 0.1x \] 2. Divide by 0.1: \[ x = \frac{2}{0.1} = 20 \] So, a 20-ounce coffee costs \$4.25! Now you know exactly what size to order when you're craving that perfect cup of java! Imagine the aroma of fresh coffee in your favorite mug as you sip away!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy