8. a road side vegetable stand seils pumpkins for ss each and tomatoes for $3 each. the total sales on
a certain day was $98. i they sold 10 pumpkins write and solve a linear equation to find the nume
of tomatoes soid.

a). The linear equation is: 3 t+50=98, where t=number of tomatoes sold

b). The total number of tomatoes sold=16

Step-by-step explanation:

a).

Step 1

Derive the expression for the total sales as shown;

S=(T×t)+(P×p)

where;

S=total sales

T=price per tomatoes

t=number of tomatoes sold

P=price per pumpkin

p=number of pumpkins sold

In our case;

S=$98

T=$3

t=t

P=$5

p=10

replacing;

98=(3×t)+(5×10)

3 t+50=98...equation

The linear equation is: 3 t+50=98

b). solve for t;

3 t+50=98

3 t=98-50

3 t=48

t=48/3=16

t=16

The total number of tomatoes sold=t=16

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

i can't solve unless i know what the line is

step-by-step explanation:

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