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A frozen yogurt shop sells a medium-sized cup of frozen yogurt for a certain amount.
Customers can then pay to add additional toppings. The table shows the total cost of a
medium-size cup of frozen yogurt with 3, 4, 6, or 8 toppings.
Toppings added (t) Total cost (C)
$8.40
$9.20
$10.80
$12.40
What is the cost of a medium-sized cup of frozen yogurt without toppings?
3
4
6
8
$
Complete the equation to represent the yogurt shop's pricing plan.
C =
Submit
t +

A frozen yogurt shop sells a mediumsized cup of frozen yogurt for a certain amount Customers can then pay to add additional toppings The table shows the total c class=


Answer :

MrRoyal

The cost without toppings is $60 and the equation of the relationship is C(x) = 0.8x + 6

The cost of a medium-sized cup of frozen yogurt without toppings

The table of values is given as

Toppings added     Total cost

3                                      8.40

4                                      9.20

6                                      10.80

8                                      12.40

The rate of change of the above table is calculated using the following slope formula

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (3, 8.40) and (4, 9.20)

So, we have

Rate = (9.20 - 8.40)/(4- 3)

Evaluate

Rate = 0.8

The linear function of the cost C is calculated as

C(x) = Rate * (x - X) + Y

Where

(X, Y) = (3, 8.40)

So, we have

C(x) = 0.8 * (x - 3) + 8.40

Evaluate

C(x) = 0.8x + 6

Set x = 0 to determine the cost of a medium-sized cup of frozen yogurt without toppings

C(0) = 0.8 x 0 + 6

Evaluate

C(0) = 6

Hence, the cost without topping is $6

The equation of the function

This has been calculated in (a)

In (a), we have

C(x) = 0.8x + 6

Hence, the equation is C(x) = 0.8x + 6

Read more about linear functions at

https://brainly.com/question/13738662

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