Which graph represents viable values for y = 5.5x, where x is the number of cans of tomato paste and y is the total weight of the sealed cans in ounces? In other words how is the graph going to look like?


Respuesta :

Answer:

The graph will go through the origin (0, 0) with a slope of 5.5.

Step-by-step explanation:

The equation y = 5.5x is written in slope-intercept form.  This form is y=mx+b, where m is the slope and b is the y-intercept.

In this equation, m = 5.5.  Since there is no value added to the equation, this means that b=0.

This means that when x = 0, y = 0; it passes through the origin.

The slope is 5.5; this means that for every increase in cans, the number of ounces increases by 5.5.

The graph of the function will look like a straight line on the xy plane

The standard formula for expressing the equation of a line is y = mx + b where:

  • m is the slope of the line
  • b is the y-intercept

The y-intercept is the point where the line cuts the y axis.

Given the equation represented by a graph as y = 5.5x

On comparison;

mx = 5.5x

m = 5.5

This shows that the slope of the graph is 5.5

Get the y-intecept.

b = 0

This shows that the line passes through the origin.

The graph of the function will look like a straight line on the xy plane as shown;

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