The equation y=0.29x+209 gives the cost y of renting a car if the care is driven x miles. Based on this equation, for every mile the car is driven the cost of increases by how much?



Answer :

The car-driven cost increases with an increase in miles. After substituting x = 1,2,3,4.... you will find that it is increasing by 0.29 every time.

What is an equation?

Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign. The expression on the left and the expression on the right is shown to be equal in reference to one another.

According to the question,

y = 0.29 x + 209

Where x is the number of miles and y is representing the driving cost of the car.

Substitute x = 1,2,3,4...... in the above equation.

y₁ = 0.29 (1) + 209 = 209.29

y₂ = 0.29 (2) + 209 = 209.58

y₃ = 0.29 (3) + 209 = 209.87

y₄ = 0.29 (4) + 209 = 210.16 and so on.

Now, take the difference,

y₂ - y₁ = 0.29

y₃ - y₂ = 0.29

y₄ - y₃ = 0.29

Hence, it is clear that with an increase in each mile the cost is increasing by 0.29.

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