Acatering company uses a linear function to determine the total cost of parties. the following table shows the costs for dinner parties with varied numbers of guests. what is the cost to cater a dinner party with 90 guests? guests total cost 30             $315 60             $555 that's the table^ $720 $795 $870 $945

Second option.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.

Since the catering company uses a linear function to determine the total cost of parties, we can find the slope of the line with this formula:

We can identify from the table that:

Substittuting values, we get:

Now we can substitute the slope and one of the points on the table, into the equation and solve for "b":

Then the linear function is:

In order to calculate the cost (in dollars) to cater a dinner party with 90 guests, we must substitute into the equation and evaluate. Then, we get:

The cost to cater a dinner party with 90 guests is $795

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

m → gradient of the line

( 0 , c ) → y - intercept

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

Let us tackle the problem.

This probem is about Linear Equation.

Let:

Line passes following coordinates:

( 30 , 315 ) → ( x₁ , y₁ )

( 60 , 555 ) → ( x₂ , y₂ )

We will use the formula as follows:

The cost to cater a dinner party with 90 guests :

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

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step-by-step explanation:

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step-by-step explanation: