High School

Write an equation for the function that approximates the cost to build a skate ramp that is [tex]x[/tex] square feet.

If the function is linear, write it in the form [tex]f(x) = mx + b[/tex]. If it is exponential, write it in the form [tex]f(x) = a(b)^x[/tex].

Given that the cost is $130 per square foot, the function is linear:

[tex]f(x) = 130x[/tex]

Answer :

The cost to build a skate ramp can be represented by the linear equation f(x) = 130x, indicating the cost is $130 per square foot of ramp.

To approximate the cost to build a skate ramp that is x square feet, when the cost is $130 per square foot, we can use a linear equation. The cost is directly proportional to the size of the ramp, therefore the equation is linear.

The linear equation representing this situation is f(x) = 130x. This equation indicates that for every additional square foot of ramp, the cost increases by $130.

Now, considering a different example provided earlier:

  • A tutoring school charges a one-time enrollment fee of $500, plus tuition of $3,000 per year. The equation to express this information is y = 500 + 3000x, where y represents the total cost and x is the number of years a student is enrolled.

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