Question

1. the table shows the number of m&m’s, m, and the number of gingerbread men, g, in the holiday basket. how many gingerbread men would you need in holiday basket with 10 m

m | 1 | 2 | 3 | 4 | 5 | 6
g | 6 | 12 | 18 | 24 | 30 | 36

1. graph the equation below using the slope and the y-intercept.

y = 3x + 4
(with a coordinate grid image)

Explanation:

Problem 5

Step1: Identify the relationship

From the table, when \( m = 1 \), \( g = 6 \); \( m = 2 \), \( g = 12 \), so the relationship is \( g = 6m \) (since \( 6\times1 = 6 \), \( 6\times2 = 12 \), etc.).

Step2: Calculate for \( m = 10 \)

Substitute \( m = 10 \) into \( g = 6m \), we get \( g = 6\times10 = 60 \).

Step1: Recall the slope - intercept form

The equation of a line in slope - intercept form is \( y=mx + b \), where \( m \) is the slope and \( b \) is the y - intercept. For the equation \( y = 3x+4 \), the slope \( m = 3=\frac{3}{1} \) and the y - intercept \( b = 4 \).

Step2: Plot the y - intercept

The y - intercept is the point where \( x = 0 \). So, we plot the point \( (0,4) \) on the y - axis.

Step3: Use the slope to find another point

The slope \( m=\frac{\text{rise}}{\text{run}}=\frac{3}{1} \). From the point \( (0,4) \), we move up 3 units (rise) and 1 unit to the right (run) to get the next point \( (0 + 1,4+3)=(1,7) \). We can also move down 3 units and 1 unit to the left from \( (0,4) \) to get \( (0 - 1,4 - 3)=(- 1,1) \).

Step4: Draw the line

Draw a straight line passing through the points we have plotted (e.g., \( (0,4) \), \( (1,7) \), \( (-1,1) \) etc.).

Answer:

60

Problem 6