Question

1. painting you used $90 worth of paint for a school float. (section 2.4)

a. graph the equation $18x + 15y = 90$, where x is the number of gallons of blue paint and y is the number of gallons of white paint.
b. interpret the intercepts.
label the x and y axes with the correct quantities in the problem
label the two intercepts on the graph.
label the line with the equation.
the x - axis gan go by 1s
the y - axis should go by 1s
interpret the intercepts means explain what they mean in the context of the problem. here we are talking about blue and white paint.

Explanation:

Step1: Find the x - intercept

Set \(y = 0\) in the equation \(18x+15y = 90\).

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The x - intercept is \((5,0)\). This means if no white paint (\(y = 0\)) is used, 5 gallons of blue paint are used.

Step2: Find the y - intercept

Set \(x = 0\) in the equation \(18x + 15y=90\).

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The y - intercept is \((0,6)\). This means if no blue paint (\(x = 0\)) is used, 6 gallons of white paint are used.

Step3: Graph the line

Plot the points \((5,0)\) and \((0,6)\) on the coordinate plane. Label the x - axis as "Gallons of Blue Paint" and the y - axis as "Gallons of White Paint". Draw a straight line passing through these two points and label the line with the equation \(18x + 15y=90\).

Answer:

• For part a: Graph with x - axis labeled "Gallons of Blue Paint", y - axis labeled "Gallons of White Paint", line passing through \((5,0)\) and \((0,6)\) labeled \(18x + 15y = 90\).
• For part b: The x - intercept \((5,0)\) means 5 gallons of blue paint are used when no white paint is used. The y - intercept \((0,6)\) means 6 gallons of white paint are used when no blue paint is used.