Questions: To bake one cake, Drew uses 18 ounces of flour. He has 850 ounces of flour. Let y represent the ounces of flour left and x represent the number of cakes he has baked. When the situation is modeled on a graph, what are the slope and the y-intercept of the line representing this situation? A. slope =850 and y-intercept =18 B. slope =18 and y-intercept =850 C. slope =-18 and y-intercept =850 D. slope =850 and y-intercept =-18

To bake one cake, Drew uses 18 ounces of flour. He has 850 ounces of flour. Let y represent the ounces of flour left and x represent the number of cakes he has baked. When the situation is modeled on a graph, what are the slope and the y-intercept of the line representing this situation?
A. slope =850 and y-intercept =18
B. slope =18 and y-intercept =850
C. slope =-18 and y-intercept =850
D. slope =850 and y-intercept =-18
Transcript text: To bake one cake, Drew uses 18 ounces of flour. He has 850 ounces of flour. Let $y$ represent the ounces of flour left and $x$ represent the number of cakes he has baked. When the situation is modeled on a graph, what are the slope and the $y$-intercept of the line representing this situation? A. slope $=850$ and $y$-intercept $=18$ B. slope $=18$ and $y$-intercept $=850$ C. slope $=-18$ and $y$-intercept $=850$ D. slope $=850$ and $y$-intercept $=-18$
failed

Solution

failed
failed

Determine the slope and \( y \)-intercept of the line representing the situation.

Identify the relationship between \( y \) and \( x \).

The total flour \( y \) left after baking \( x \) cakes is given by:
\[ y = 850 - 18x \]
This is because Drew starts with 850 ounces of flour and uses 18 ounces per cake.

Rewrite the equation in slope-intercept form.

The slope-intercept form of a line is \( y = mx + b \), where \( m \) is the slope and \( b \) is the \( y \)-intercept. Rewriting the equation:
\[ y = -18x + 850 \]

Identify the slope and \( y \)-intercept.

From the equation \( y = -18x + 850 \), the slope \( m = -18 \) and the \( y \)-intercept \( b = 850 \).

The slope is \( \boxed{-18} \) and the \( y \)-intercept is \( \boxed{850} \).

The slope is \( \boxed{-18} \) and the \( y \)-intercept is \( \boxed{850} \).
The correct answer is C.

Was this solution helpful?
failed
Unhelpful
failed
Helpful