Answer:
The equation of the given situation is y = 15x + 50
Step-by-step explanation:
The slope-intercept form of the linear equation is y = m x + b, where
The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
∵ A caterer charges $275 for 15 people
∵ A caterer charges $425 for 25 people
∵ x represents the number of people
∵ y represents the cost
∴ (x1, y1) = (15, 275)
∴ (x2, y2) = (25, 425)
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{425-275}{25-15}=\frac{150}{10}[/tex]
∴ m = 15
→ Substitute it in the form of the equation above
∴ y = 15x + b
→ To find b substitute x by 15 and y by 275
∵ 275 = 15(15) + b
∴ 275 = 225 + b
→ Subtract 225 from both sides
∴ 275 - 225 = 225 - 225 + b
∴ 50 = b
→ Substitute it in the equation
∴ y = 15x + 50
∴ The equation of the given situation is y = 15x + 50
