The cost yy (in dollars) to rent a moving van is proportional to the number xx of days that the van is rented. it costs $140 to rent a van for 4 days. write an equation that represents the cost to rent a moving van for xx days.

Step-by-step explanation:

Given : The cost y (in dollars) to rent a moving van is proportional to the number x of days that the van is rented.

It costs $140 to rent a van for 4 days.

i.e. The cost of rent a moving van for 4 days = $140

Then, by unitary method ,

The cost of rent a moving van for 1 day =

Now, the cost for renting a van for x days =

Cost of renting van for one day × (x)

= 35x

Then, the required equation that represents the cost to rent a moving van for x days :

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

step-by-step explanation:

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