Question

Read the following description of a

relationship:
At Tex's Taco Truck, a basic taco costs $3
and comes with just lettuce and tomato.
Other toppings can be added for $1 each.
Let t represent the number of toppings
added and c represent the total cost in
dollars.
This relationship can also be shown in a
table. Complete the equation that represents
the
relationship between t and c.

Answer 1

The equation that represents the relationship is : a = 1n + 3

Expressing the relationship in the form ;

• y = bx + c ; b = slope ; c = intercept

Taking any pair of points ;

• (7, 10) ; (8, 11)

b = Rise / Run

b = (11 - 10) / (8 - 7) = 1

Using the value of 'b' to calculate 'c'

10 = 1(7) + c

10 = 7 + c

c = 3

The equation becomes ; a = n + 3

Answer 2

`\sf a = \boxed{\bf 1} \ n+ \boxed{\bf 3}`

Step-by-step explanation:

`\sf \underline{rate} \ = \ \sf (y_2-y_1)/(x_2-x_1) \ = \ (rise)/(run) \ = \ (11-10)/(8-7) \ = \ \underline{1}`

Equation:

`\Rightarrow \sf a - a1 = m(n - n1)`

`\Rightarrow \sf a - 10 = 1(n -7)`

`\Rightarrow \sf a = n - 7 + 10`

`\Rightarrow \sf a = n + 3`