It costs $50.00 to deliver 6 floral arrangements. It costs $80.00 to deliver 12 floral arrangements. What is the constant rate o

Question

4 years ago

11

f change and initial value for this function?
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Write an equation for the function.

1 answer:

german · Answer 1 · 2022-02-06T16:54:50+03:00

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

$(12x+y)-(6x+y)=80.00-50.00\\12x+y-6x-y=30.00\\6x=30.00$

Dividing both sides by 6

$\frac{6x}{6}=\frac{30.00}{6}\\x=5.00$

Putting in Eqn 1;

$6(5.00)+y=50.00\\30.00+y=50.00\\y=50.00-30.00\\y=20.00$

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

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