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?

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.

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.