The problem states that the cost of hiring a surfboard is $4 upfront plus $10 for each day it is hired. We are asked to write an equation for the cost $c$ in terms of the number of days $d$. Then, we need to use this equation to complete a table of values, finding the cost for 1, 2, and 3 days.

1. Problem Description

The problem states that the cost of hiring a surfboard is $4 upfront plus$10 for each day it is hired. We are asked to write an equation for the cost $c$ in terms of the number of days $d$. Then, we need to use this equation to complete a table of values, finding the cost for 1, 2, and 3 days.

2. Solution Steps

a) Write the equation for the cost $c$ in terms of the number of days $d$.

The cost is $4 upfront, so this is a constant term. The cost per day is$10, so the cost for $d$ days is $10d$. Therefore, the total cost $c$ is the sum of the upfront cost and the cost for $d$ days.

$c = 4 + 10d$

b) Use the equation to complete the table of values.

We need to find the cost for 1, 2, and 3 days.

For $d=1$, we have:

$c = 4 + 10(1) = 4 + 10 = 14$

So, $A = 14$.

For $d=2$, we have:

$c = 4 + 10(2) = 4 + 20 = 24$

So, $B = 24$.

For $d=3$, we have:

$c = 4 + 10(3) = 4 + 30 = 34$

So, $C = 34$.

3. Final Answer

a) $c = 4 + 10d$

b) $A = 14$, $B = 24$, $C = 34$