Nina worked 32 hours this week. She earned a total of 360. How much does she make per hour? Write and solve equation.
1 answer:
Nina makes 11.25 per hour.
Step-by-step explanation:
Given,
Number of hours worked by Nina = 32 hours
Amount earned by Nina = 360
Let,
x represent the amount earned by Nina per hour.
Amount per hour * Number of hours = Amount earned
Dividing both sides by 32
Nina makes 11.25 per hour.
Keywords: variable, equation
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Answer (<u>assuming it can be in slope-intercept form)</u>:
y = -x - 1
Step-by-step explanation:
When knowing the slope of a line and its y-intercept, you can write an equation to represent it in slope-intercept form, or y = mx + b format. Substitute the m and b for real values.
1) First, find the slope of the equation, or m. Pick any two points from the line and substitute their x and y values into the slope formula, . I chose the points (0, -1) and (-1, 0):
Thus, the slope is -1.
2) Now, find the y-intercept, or b. The y-intercept of a line is the point at which the line crosses the y-axis. By reading the graph, we can see that the line intersects the y-axis at the point (0,-1), therefore that must be the y-intercept.
3) Now, substitute the found values into the y = mx + b formula. Substitute -1 for m and -1 for b: