Question

ashley charges $30 for every dog that she walks.
money earned ($)
dogs walked
equation:
additive or multiplicative:
mr brown adds 10 bonus to everyone’s science project
grade after points
initial grade
equation:
additive or multiplicative:

Explanation:

Part 1: Ashley's Dog Walking (Money Earned)

Step 1: Identify Relationship Type

Check if \( y \) changes by addition or multiplication. For \( x = 2, y = 60 \); \( x = 4, y = 120 \); \( x = 6, y = 180 \). \( \frac{60}{2}=30 \), \( \frac{120}{4}=30 \), \( \frac{180}{6}=30 \). So it's multiplicative (constant ratio).

Step 2: Formulate Equation

Since \( y = 30x \) (as \( y \) is 30 times \( x \)).

Step 3: Determine Type

Multiplicative (due to constant ratio \( 30 \)).

Step 1: Identify Relationship Type

Let initial grade be \( x \), grade after bonus be \( y \). He adds 10 bonus, so \( y = x + 10 \) (constant addition).

Step 2: Formulate Equation

\( y = x + 10 \) (adds 10 to initial grade \( x \)).

Step 3: Determine Type

Additive (due to constant addition of 10).

Answer:

Equation: \( y = 30x \)
Additive or Multiplicative: Multiplicative

Part 2: Mr. Brown's Bonus (Grade After Points)