Question

You earn $15 per hour to babysit. After babysitting for 3 hours, you will earn $50. Write an equation in slope-intercept form to represent the relationship between hours worked (x) and earnings in dollars (y).

Answer 1

The equation  in slope-intercept form to represent the relationship between hours worked (x) and earnings in dollars (y) is y = $5 + $15x.

An equation in slope intercept form is usually written as: y = mx + b

Where:

• m = slope
• b = intercept

If I earn $15 per hour when  I babysit,  the amount I earn increases by $15 every hour. $15 is the slope of the equation. After 3 hours, the total amount I would earn is: $15 x 5 = $45.

In order to determine the intercept, subtract $45 from $50.

$50 - $45 = $5.

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