A recipe calls for 3 cups of sugar for every 1 cup of butter. How many cups
of butter does the recipe need for 4.5
cups of sugar?

1.5 cups of butter

Step-by-step explanation:

3 : 1 <- this is our ratio

divide by 2

1.5 : 0.5 is our new ratio

equation: 1.5 * ? = 4

? = 3 cups of sugar

multiply the ratio by 3

1.5 : 0.5 = 4 : 1.5

we need 1.5 cups of butter for 4.5 cups of sugar

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.