Respuesta :
The terms in a linear function consists of the product of a variable raised to the first power and a constant added to a constant
The changes in the graph of the function are;
- If the trophy's cost is lowered to $172, the y-intercept of the graph is lowered to 172
- If the charge per letter is raided to $0.50, the slope changes to 0.50
The reason the above values are correct are given as follows:
The known parameter for the costs of a trophy are;
Amount the company charges for the trophy = $175
Amount charged for each letter written on the trophy - $0.20
The total charge for a trophy with x letters is f(x) = 0.20·x + 175
Required;
The change in the graph if the trophy's cost is lowered to $172
Solution;
The cost of the trophy is the constant term in the straight line equation of the total charge for a trophy
The constant term in a straight line equation gives the y-intercept, that is the value of y when x = 0, while the coefficient of x in the equation of the form y = m·x + c, gives the slope of the equation
Therefore, when the cost of the trophy is lowered to 172, the y-intercept of the graph is lowered to 172, while the slope of the graph remains the same
Required:
The change in the graph if the charge per letter is raised to $0.50
Solution:
The charge per letter is the coefficient of x, in the equation f(x) = 0.20·x + 175, which is of the form, y = m·x + c, where m is the slope
Therefore, the charge per letter is the slope of the graph
If the charge per letter is changed from $0.20 to $0.50, the equation changes from f(x) = 0.20·x + 175 to f(x) = 0.50·x + 175, and therefore;
The slope of the graph changes from 0.20 to 0.50
Learn more about straight line graphs here:
https://brainly.com/question/21011109
