Which problem can be solved using the equation y = -8x + 50?

a) you have $50 and plan to buy movie tickets for $8. how much money, y, will you have left after buying x tickets?

b) over the summer, you and 8 friends plan to read 50 books. if everyone gets an equal amount, how many books, y, will each person read?

c) you have already traveled 50 miles. how far, y, will you travel in 8 hours, at a speed of x miles per hour?

d) you start with $50 in your savings account. how much money, y, will you have after saving $8 a month for x months?

A) You have $50 and plan to buy movie tickets for $8. How much money, y, will you have left after buying x tickets?

Step-by-step explanation:

Given:

Equation is y = -8x + 50

we need to find which problem statement represents the above equation.

Hence we will check it by creating equation for each.

A) You have $50 and plan to buy movie tickets for $8. How much money, y, will you have left after buying x tickets?

Cost of movie ticket  = $8

Number of tickets = x

Money i have = $50

Money left y = 50 - 8x

Hence we can say that this problem represent the above equation.

B) Over the summer, you and 8 friends plan to read 50 books. If everyone gets an equal amount, how many books, y, will each person read?

Total friends = 9

Number of books = 50

Number of books each will read  = 50/9

Hence we can say that this problem does not represent the above equation.

C) You have already traveled 50 miles. How far, y, will you travel in 8 hours, at a speed of x miles per hour?

Number of hours  = 8

Number of miles = x

Miles traveled = $50

Distance traveled = 50 + 8x

Hence we can say that this problem does not represent the above equation.

D) You start with $50 in your savings account. How much money, y, will you have after saving $8 a month for x months?

Amount per month  = 8

Number of months = x

Money in savings account = $50

total Money saved = 50 + 8x

Hence we can say that this problem does not represent the above equation.

Final

Option A will be correct option  which represent the equation y = -8x + 50

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4