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Stella has a home business selling gourmet pizzas. The equation $C=4p+25$models the relation between her weekly cost, C, in dollars and the number of pizzas, p, that she sells.

鈸� Find Stella鈥檚 cost for a week when she sells no pizzas.

鈸� Find the cost for a week when she sells 15 pizzas.

鈸� Interpret the slope and C-intercept of the equation.

鈸� Graph the equation.

Put $p=0$in the equation $C=4p+25$

$C=4\left(0\right)+25$

$C=0+25$

$C=25$

Put $p=15$in the equation $C=4p+25$

$C=4\left(15\right)+25$

$C=60+25$

$C=85$

The equation $C=4p+25$is in slope-intercept form $y=mx+b$.

by comparison, we get, slope, $m=4$, which means that the weekly cost, C, increases by $4 when the number of pizzas sold, p, increases by 1. The C-intercept means that when the number of pizzas sold is 0, the weekly cost is $25.

Graphing the equation $C=4p+25$

Take two points to graph the line: localid="1645500082869" $(0,25),(10,65)$