The constant rate for 1 floral arrangement is $5.00 and inital value is $20.00
Equation: f(z)=20+5z
Step-by-step explanation:
Given,
Delivery cost of 6 floral arrangements = $50.00
Delivery cost of 12 floral arrangements = $80.00
Let,
x be the constant rate for each floral arrangement.
y be the initial value.
According to given statement;
6x+y=50.00 Eqn 1
12x+y=80.00 Eqn 2
Subtracting Eqn 2 from Eqn 1
[tex](12x+y)-(6x+y)=80.00-50.00\\12x+y-6x-y=30.00\\6x=30.00[/tex]
Dividing both sides by 6
[tex]\frac{6x}{6}=\frac{30.00}{6}\\x=5.00[/tex]
Putting in Eqn 1;
[tex]6(5.00)+y=50.00\\30.00+y=50.00\\y=50.00-30.00\\y=20.00[/tex]
The constant rate for 1 floral arrangement is $5.00 and inital value is $20.00
Equation for the function;
Let z be the number of floral arrangements.
f(z) = initial fee + 5*Number of floral arrangements
f(z) = 20+5z
Keywords: function, subtraction
Learn more about functions at:
- brainly.com/question/4695279
- brainly.com/question/4703807
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