4.8 modeling real world linear relationships check in

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What is a linear relationship?

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A linear relationship is a relationship between two variables that can be represented by a straight line on a graph. It can be expressed in the form of an equation, typically written as y = mx + b, where m is the slope and b is the y-intercept.

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What does the slope of a line represent in a real-world context?

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The slope of a line represents the rate of change between the two variables. In a real-world context, it indicates how much one quantity changes for a unit change in another quantity.

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What is the y-intercept in a linear equation?

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The y-intercept is the value of y when x is 0. It represents the starting point of the relationship on the y-axis.

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How do you calculate the total cost from a linear equation?

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To calculate the total cost from a linear equation, substitute the value of x (the number of units or hours) into the equation and solve for y (the total cost).

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What is the equation for a plumber who charges a service fee of $110 plus $60 per hour?

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If a plumber works for 6 hours, what is the total cost?

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What is the equation for an electrician who charges $75 plus $30 per hour?

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What does it mean if two companies have the same rate of change?

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If two companies have the same rate of change, it means they charge the same amount per unit of service or product, resulting in parallel lines on a graph.

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What is the equation for a gym that charges a $50 signup fee plus $20 per month?

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How can you determine how many games can be bought for $75 if the cost per game is $10?

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