Ask a New Question
Menu

Question 1

Solve each problem on a piece of paper. Make sure to show your steps and submit a picture of your work.(2 points)
1. Rearrange the slope formula y=mx+b
for the quantity of interest m
.





2. Daisy received a $100 gift card and needs new sweaters for fall. The sweaters cost $28.50 each.

Write an equation, then solve the equation to determine how many sweaters she can buy.

sweaters





Question 2
If you are unable to submit your work in the box below, text or webmail a picture of your work to your teacher.(2 points)

1 answer

Sure! Let's go through each problem step-by-step.

Question 1

  1. Rearranging the slope formula:

    The slope formula is given as: \[ y = mx + b \]

    To solve for \( m \):

    • Start by isolating the term \( mx \): \[ y - b = mx \]
    • Now, divide both sides by \( x \) to isolate \( m \): \[ m = \frac{y - b}{x} \]

    Thus, the rearranged formula for \( m \) is: \[ m = \frac{y - b}{x} \]

  2. Calculating how many sweaters Daisy can buy:

    Let \( x \) equal the number of sweaters Daisy can buy.

    The cost of each sweater is $28.50. Therefore, the total cost for \( x \) sweaters is: \[ 28.50x \]

    This total cost cannot exceed Daisy's gift card limit of $100, so we set up the inequality: \[ 28.50x \leq 100 \]

    To find \( x \), solve the equation: \[ x \leq \frac{100}{28.50} \] Now, perform the calculation: \[ x \leq 3.50877 \]

    Since Daisy cannot buy a fraction of a sweater, we round down to the nearest whole number. Thus, the maximum number of sweaters Daisy can buy is: \[ x = 3 \]

Summary of Answers:

  1. Rearranged slope formula for \( m \): \[ m = \frac{y - b}{x} \]

  2. Daisy can buy a maximum of 3 sweaters.

If you need to submit a picture of your work, you can write this step-by-step solution on paper, take a clear photo, and submit it as requested. Let me know if you have any other questions!