title?isbn $=97807303967348$ subisbn $=9780730394037$ \&topicid $=4621$ \&subtopicid $=628768$ tabind. $G$ \&
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can On Jacaranda Supercourse: Maths Quest 7 - 10 VC 2e
:-
3.7 Review
3.7 Ex 1
3.7 T3 Post-test
3.7 TBQ
The cost of renting a car is given by $C=75 d+0.4 k$, where $d=$ number of days rented and $k=$ number of kilometres driven.
Toni has $\$ 340$ to spend on a car for 3 days. What is the total distance she can travel?
$\mathrm{km}$
SAVE
Basic
7
8
9
$\div$
3.6
0000
(i)

Step 1 ：Given the cost function $C = 75d + 0.4k$, where $C$ is the total cost, $d$ is the number of days rented, and $k$ is the number of kilometers driven.

Step 2 ：Toni has $\$ 340$ to spend on a car for 3 days, so we have $C = 340$ and $d = 3$.

Step 3 ：Substitute the values of $C$ and $d$ into the cost function: $340 = 75(3) + 0.4k$.

Step 4 ：Solve for $k$: $340 = 225 + 0.4k$.

Step 5 ：Subtract 225 from both sides: $115 = 0.4k$.

Step 6 ：Divide both sides by 0.4: $k = \frac{115}{0.4}$.

Step 7 ：Calculate the value of $k$: $k = 287.5$.

Step 8 ：\(\boxed{k = 287.5}\) kilometers is the total distance Toni can travel.