Respuesta :

Given:

The rent for trucks is $3750.

The additional charge per ton of sugar is $150.

To write: The equation relating the total cost C and amount of sugar S.

Explanation:

The equation represents the total cost C and the amount of sugar S is given by,

[tex]C=3750+150S[/tex]

Let us find the three coordinates to plot the graph.

When

[tex]S=0[/tex]

Then,

[tex]\begin{gathered} C=3750+150(0) \\ =3750 \end{gathered}[/tex]

When

[tex]S=1[/tex]

Then,

[tex]\begin{gathered} C=3750+150 \\ =3900 \end{gathered}[/tex]

When

[tex]S=2[/tex]

Then,

[tex]\begin{gathered} C=3750+150(2) \\ =3750+300 \\ =4050 \end{gathered}[/tex]

So, the coordinates are,

[tex](0,3750),(1,3900),(2,4050)[/tex]

The equation represents the total cost C and the amount of sugar S is given by,

[tex]C=3750+150S[/tex]

The graph is,

Ver imagen AlexK38776