Every evening jenna empties her pockets and puts her change in a jar. at the end of the week she counts her money. one week she had 38 coins, all of them dimes and quarters. when she added them up, she had a total of $6.95. if d=number of dimes and q= number of quarters, how many dimes did jenna have?

21 quarters and 17 dimes

Step-by-step explanation:

d = dimes

q = quarters

d+q = 38 coins

q=38-d

0.25q + 0.10d=6.95

0.25(38-d)+0.10d=6.95

9.5-0.25d+0.10d=6.95

-015d=-2.55

d=-2.55/-0.15 = 17

q=38-17 =21

21*0.25 =5.25

17*0.10 = 1.70

5.25+1.70 = 6.95

she had 21 quarters and 17 dimes

The relationship is linear.you can figure this out by noticing that the x steadily increases by values of 2 as the y value increases by values of 4. this means that the rate that they change is proportional, and stays the same, so therefore it is a linear equation.to figure out the equation: so for point slope form, which is what is pictured as the choices, the equation is: y -  = m(x -  so first, figure out the slope, which is m.the slope formula is:   so you can just put in two of the points.i'll just use -5, 9 and -7, 5so then(9 - 5) / -5 - (-7) = 4/-2 = -1/2so now we know the slope is -1/2.from here we don't have to do anything more, since only one of the choices has the slope -1/2.so your answer would be b.