Solved on Jan 22, 2024

Determine equation for total cost $c$ (in $) of pizza with$ t $toppings, where base cost is$ \ $5$ and each topping costs $\$ 1.50$ .

STEP 1

Assumptions
1. The base cost of a cheese pizza without toppings is $5.<br />2. Each additional topping costs$ 1.50.
3. The total cost $c$ is the sum of the base cost and the cost of the toppings.
4. The number of toppings is represented by $t$ .
5. The relationship between the total cost and the number of toppings is linear.

STEP 2

To find the total cost $c$ of a pizza with $t$ toppings, we start with the base cost of the pizza and add the cost of the toppings.
$c = \text{Base cost} + (\text{Cost per topping} \times \text{Number of toppings})$

STEP 3

Now, plug in the given values for the base cost of the pizza and the cost per topping into the equation.
$c = \$5 + (\$1.50 \times t)$

STEP 4

This equation represents the total cost $c$ of a pizza with $t$ toppings.
$c = 5 + 1.5t$

STEP 5

To graph this equation, we will plot the total cost $c$ on the y-axis and the number of toppings $t$ on the x-axis.

STEP 6

Choose several values for $t$ (such as 0, 1, 2, 3) and calculate the corresponding $c$ using the equation $c = 5 + 1.5t$ .

STEP 7

For $t = 0$ (no toppings), the cost is:
$c = 5 + 1.5(0) = 5$

STEP 8

For $t = 1$ (one topping), the cost is:
$c = 5 + 1.5(1) = 6.5$

STEP 9

For $t = 2$ (two toppings), the cost is:
$c = 5 + 1.5(2) = 8$

STEP 10

For $t = 3$ (three toppings), the cost is:
$c = 5 + 1.5(3) = 9.5$

STEP 11

Plot the points (0, 5), (1, 6.5), (2, 8), and (3, 9.5) on the graph.

STEP 12

Draw a straight line through the points to represent the equation $c = 5 + 1.5t$ .
The equation that represents the total cost $c$ of a pizza with $t$ toppings is $c = 5 + 1.5t$ .

Was this helpful?

Determine equation for total cost $c$ (in $) of pizza with$ t $toppings, where base cost is$ \ $5$ and each topping costs $\$ 1.50$ .

STEP 1

STEP 2

To find the total cost $c$ of a pizza with $t$ toppings, we start with the base cost of the pizza and add the cost of the toppings.
$c = \text{Base cost} + (\text{Cost per topping} \times \text{Number of toppings})$

STEP 3

Now, plug in the given values for the base cost of the pizza and the cost per topping into the equation.
$c = \$5 + (\$1.50 \times t)$

STEP 4

This equation represents the total cost $c$ of a pizza with $t$ toppings.
$c = 5 + 1.5t$

STEP 5

To graph this equation, we will plot the total cost $c$ on the y-axis and the number of toppings $t$ on the x-axis.

STEP 6

Choose several values for $t$ (such as 0, 1, 2, 3) and calculate the corresponding $c$ using the equation $c = 5 + 1.5t$ .

STEP 7

For $t = 0$ (no toppings), the cost is:
$c = 5 + 1.5(0) = 5$

STEP 8

For $t = 1$ (one topping), the cost is:
$c = 5 + 1.5(1) = 6.5$

STEP 9

For $t = 2$ (two toppings), the cost is:
$c = 5 + 1.5(2) = 8$

STEP 10

For $t = 3$ (three toppings), the cost is:
$c = 5 + 1.5(3) = 9.5$

STEP 11

Plot the points (0, 5), (1, 6.5), (2, 8), and (3, 9.5) on the graph.

STEP 12

Draw a straight line through the points to represent the equation $c = 5 + 1.5t$ .
The equation that represents the total cost $c$ of a pizza with $t$ toppings is $c = 5 + 1.5t$ .

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Determine equation for total cost ccc (in )ofpizzawith) of pizza with )ofpizzawithttoppings,wherebasecostis toppings, where base cost is toppings,wherebasecostis\5 55 and each topping costs $1.50\$ 1.50$1.50.

STEP 1

STEP 2

STEP 3

Now, plug in the given values for the base cost of the pizza and the cost per topping into the equation.c=$5+($1.50×t)c = \$5 + (\$1.50 \times t)c=$5+($1.50×t)

STEP 4

This equation represents the total cost ccc of a pizza with ttt toppings.c=5+1.5tc = 5 + 1.5tc=5+1.5t

STEP 5

To graph this equation, we will plot the total cost ccc on the y-axis and the number of toppings ttt on the x-axis.

STEP 6

Choose several values for ttt (such as 0, 1, 2, 3) and calculate the corresponding ccc using the equation c=5+1.5tc = 5 + 1.5tc=5+1.5t.

STEP 7

For t=0t = 0t=0 (no toppings), the cost is:c=5+1.5(0)=5c = 5 + 1.5(0) = 5c=5+1.5(0)=5

STEP 8

For t=1t = 1t=1 (one topping), the cost is:c=5+1.5(1)=6.5c = 5 + 1.5(1) = 6.5c=5+1.5(1)=6.5

STEP 9

For t=2t = 2t=2 (two toppings), the cost is:c=5+1.5(2)=8c = 5 + 1.5(2) = 8c=5+1.5(2)=8

STEP 10

For t=3t = 3t=3 (three toppings), the cost is:c=5+1.5(3)=9.5c = 5 + 1.5(3) = 9.5c=5+1.5(3)=9.5

STEP 11

Plot the points (0, 5), (1, 6.5), (2, 8), and (3, 9.5) on the graph.

STEP 12

Draw a straight line through the points to represent the equation c=5+1.5tc = 5 + 1.5tc=5+1.5t.The equation that represents the total cost ccc of a pizza with ttt toppings is c=5+1.5tc = 5 + 1.5tc=5+1.5t.

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Determine equation for total cost $c$ (in $) of pizza with$ t $toppings, where base cost is$ \ $5$ and each topping costs $\$ 1.50$ .

Now, plug in the given values for the base cost of the pizza and the cost per topping into the equation.
$c = \$5 + (\$1.50 \times t)$

This equation represents the total cost $c$ of a pizza with $t$ toppings.
$c = 5 + 1.5t$

To graph this equation, we will plot the total cost $c$ on the y-axis and the number of toppings $t$ on the x-axis.

Choose several values for $t$ (such as 0, 1, 2, 3) and calculate the corresponding $c$ using the equation $c = 5 + 1.5t$ .

For $t = 0$ (no toppings), the cost is:
$c = 5 + 1.5(0) = 5$

For $t = 1$ (one topping), the cost is:
$c = 5 + 1.5(1) = 6.5$

For $t = 2$ (two toppings), the cost is:
$c = 5 + 1.5(2) = 8$

For $t = 3$ (three toppings), the cost is:
$c = 5 + 1.5(3) = 9.5$

Draw a straight line through the points to represent the equation $c = 5 + 1.5t$ .
The equation that represents the total cost $c$ of a pizza with $t$ toppings is $c = 5 + 1.5t$ .