To solve the problem of calculating how much it will cost Jiya to rent the truck for 7 hours, we need to understand the charging structure provided by the rental company:
1. The first hour costs [tex]$\$[/tex]55[tex]$.
2. Each additional hour after the first hour costs $[/tex]\[tex]$10$[/tex].
Given that it will take Jiya 7 hours to move, we can define an explicit formula to calculate the total cost.
First, let's identify how many additional hours Jiya will need beyond the first hour:
[tex]\[ \text{Total additional hours} = 7 - 1 = 6 \][/tex]
The cost of these additional hours at the rate of [tex]$\$[/tex]10[tex]$ per hour is:
\[ \text{Cost of additional hours} = 6 \times \$[/tex]10 = \[tex]$60 \]
Now, adding the cost for the first hour:
\[ \text{Total cost} = \text{Cost of first hour} + \text{Cost of additional hours} \]
\[ \text{Total cost} = \$[/tex]55 + \[tex]$60 \]
\[ \text{Total cost} = \$[/tex]115 \]
Therefore, the explicit formula that describes the total cost to rent the truck for 7 hours is:
[tex]\[ a_7 = 55 + (7 - 1) \cdot 10 \][/tex]
So the correct choice is:
[tex]\[ a_7 = 55 + (7 - 1) \cdot 10 \][/tex]
