Question

Juanita usually spends $3 more than twice her transportation costs on groceries. if x is the amount she spends on transportation, and y is the amount she spends on groceries, the amount she spends on groceries can be represented by the equation y=2x+3. is the relationship between x and y linear? is it proportional? how much would juanita spend on groceries if she spent $30 on transportation? explain.

Answer 1

Answer: It's a linear equation.

It's not a proportional relationship.

Juanita spend $63 on groceries if she spent $30 on transportation.

Step-by-step explanation: Given equation y=2x+3.

Where x is the amount she spends on transportation, and y is the amount she spends on groceries.

We can see that given equation is in slope-intercept form y=mx+b.

So, it's a linear equation and y=2x+3 is the relationship between x and y linear.

Also, a linear linear equation represents a proportion relationship if y-intercept is 0.

But for the given equation y=2x+3, y-intercept is 3.

Therefore, it's not a proportional relationship.

Now, in order to find how much would Juanita spend on groceries if she spent $30 on transportation, we need to plug x= 30 in given equation.

Therefore,

y = 2(30) +3 = 60+3 = 63.

So, Juanita spend $63 on groceries if she spent $30 on transportation.