Math Snap

STEP 1

Assumptions1. The total cost for9 days is $920. There is a one-time discount of$253. The cost per day is constant4. The discount is subtracted from the total cost, not the daily cost5. The variable $d$ represents the daily cost

STEP 2

We need to find an equation that correctly represents the situation. The total cost for9 days, after subtracting the discount, is equal to $920. This can be represented as$$9d -25 =920$$where$d$ is the daily cost.

STEP 3

Now, we need to solve this equation for $d$. First, we add25 to both sides of the equation to isolate the term with $d$ on one side.
$$9d =920 +25$$

STEP 4

Perform the addition on the right side of the equation.
$$9d =945$$

STEP 5

To find the value of $d$, we divide both sides of the equation by9.
$$d =945 /9$$

Perform the division to find the value of $d$.
$$d =945 /9 =105$$The agency charges $105 per day.